{"id":5700391,"date":"2025-03-04T14:20:57","date_gmt":"2025-03-04T14:20:57","guid":{"rendered":"https:\/\/www.bethunter.io\/?page_id=5700391"},"modified":"2025-03-19T11:04:32","modified_gmt":"2025-03-19T11:04:32","slug":"poisson-distribution","status":"publish","type":"page","link":"https:\/\/www.bethunter.io\/en\/dictionary\/poisson-distribution\/","title":{"rendered":"Poisson Distribution"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"5700391\" class=\"elementor elementor-5700391 elementor-5700229\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9b3e1e8 elementor-section-stretched elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9b3e1e8\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;stretch_section&quot;:&quot;section-stretched&quot;,&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e3f7345\" data-id=\"e3f7345\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-07ebccc elementor-widget elementor-widget-spacer\" data-id=\"07ebccc\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-06d352c elementor-widget__width-initial elementor-widget elementor-widget-heading\" data-id=\"06d352c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">What is Poisson Distribution and how to use it in sports betting?<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f5581ea elementor-widget elementor-widget-spacer\" data-id=\"f5581ea\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3a39c47 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3a39c47\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-98942d0\" data-id=\"98942d0\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d4eb234 elementor-widget elementor-widget-spacer\" data-id=\"d4eb234\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-25ca016 elementor-widget elementor-widget-text-editor\" data-id=\"25ca016\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b1a88ed elementor-widget elementor-widget-text-editor\" data-id=\"b1a88ed\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">If you&#8217;re an experienced bettor, you may have heard of Poisson Distribution applied to sports betting.<\/div>\n<div data-id=\"b1a88ed\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\"> <\/div>\n<div class=\"elementor-element elementor-element-b1a88ed elementor-widget elementor-widget-text-editor\" data-id=\"b1a88ed\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">This mathematical model has been widely used in sports betting to predict the probability of a specific number of events occurring within a given time frame. However, <strong>the question many ask is whether this tool is truly effective for making successful sports bets, or if there are faster, simpler, and more profitable methods to achieve this. <\/strong> But let&#8217;s go step by step.  <\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2346315 elementor-widget elementor-widget-spacer\" data-id=\"2346315\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-020e217 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"020e217\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-a7fa247\" data-id=\"a7fa247\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-21d0208 elementor-widget elementor-widget-heading\" data-id=\"21d0208\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<p class=\"elementor-heading-title elementor-size-default\">What is the Poisson Distribution ?\n<\/p>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-27322a5 elementor-widget elementor-widget-text-editor\" data-id=\"27322a5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b1a88ed elementor-widget elementor-widget-text-editor\" data-id=\"b1a88ed\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n<div class=\"elementor-widget-container\">\n<p data-start=\"736\" data-end=\"1139\">The Poisson Distribution is a probabilistic model that allows estimating the probability of a team scoring a specific number of goals in a match, based on historical data such as the average goals scored and conceded by each team. This model is commonly used to calculate the probability of certain events occurring during a game, such as goals in a football match. <\/p>\n<p data-start=\"1141\" data-end=\"1421\">To use this model, bettors collect historical data from previous matches and calculate the probability of each possible score. They then compare these estimates with the odds offered by bookmakers to find value betting opportunities. <\/p>\n<p>This means that if a team is a clear favourite, it is assigned a negative handicap, while the underdog is given a positive handicap to level the playing field.<\/p>\n<\/div>\n<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3d59197 elementor-widget elementor-widget-spacer\" data-id=\"3d59197\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-83676b6\" data-id=\"83676b6\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6386c02 elementor-widget elementor-widget-image\" data-id=\"6386c02\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/www.bethunter.io\/wp-content\/uploads\/2025\/02\/246-1024x1024.png\" class=\"attachment-large size-large wp-image-5699837\" alt=\"\" srcset=\"https:\/\/www.bethunter.io\/wp-content\/uploads\/2025\/02\/246-1024x1024.png 1024w, https:\/\/www.bethunter.io\/wp-content\/uploads\/2025\/02\/246-300x300.png 300w, https:\/\/www.bethunter.io\/wp-content\/uploads\/2025\/02\/246-150x150.png 150w, https:\/\/www.bethunter.io\/wp-content\/uploads\/2025\/02\/246-768x768.png 768w, https:\/\/www.bethunter.io\/wp-content\/uploads\/2025\/02\/246.png 1080w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" title=\"\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b64f203 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b64f203\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-0ca3021\" data-id=\"0ca3021\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9395107 elementor-widget elementor-widget-text-editor\" data-id=\"9395107\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>\u26a0\ufe0f<span class=\"JCzEY tNxQIb\"><span class=\"CSkcDe\">\ud83d\udc49<\/span><\/span> If <strong>you&#8217;re not a math geek <\/strong> and you&#8217;re just here to see <strong> how to maximize your earnings with sports betting&#8230;<\/strong><\/p>\n<p><strong>\u2193\u2193\u2193 You can skip the following section in gray and continue further down! \u2193\u2193\u2193 <\/strong><\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b0da18a elementor-widget elementor-widget-spacer\" data-id=\"b0da18a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-96dc415 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"96dc415\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-9fc758f\" data-id=\"9fc758f\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7fefe58 elementor-widget elementor-widget-spacer\" data-id=\"7fefe58\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-263cb44 elementor-widget elementor-widget-heading\" data-id=\"263cb44\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<p class=\"elementor-heading-title elementor-size-default\">The Poisson Distribution Formula\n<\/p>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d9d487e elementor-widget elementor-widget-text-editor\" data-id=\"d9d487e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6565dc2 elementor-widget elementor-widget-text-editor\" data-id=\"6565dc2\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">The Poisson model is based on the premise that events occur randomly, but at a constant rate. In sports betting, this constant rate refers to the average number of goals scored by a team in previous matches. <\/div>\n<div class=\"elementor-element elementor-element-6565dc2 elementor-widget elementor-widget-text-editor\" data-id=\"6565dc2\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">To calculate the probability of a team scoring a specific number of goals in a future match, the Poisson Distribution formula is used.<\/div>\n<div class=\"elementor-element elementor-element-6565dc2 elementor-widget elementor-widget-text-editor\" data-id=\"6565dc2\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n<div class=\"elementor-widget-container\">\n<p data-start=\"1317\" data-end=\"1374\">The formula for the Poisson Distribution is as follows:<\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-5700232 aligncenter\" src=\"https:\/\/www.bethunter.io\/wp-content\/uploads\/2025\/03\/dfd.png\" alt=\"\" width=\"189\" height=\"79\" title=\"\"><\/p>\n<p data-start=\"1428\" data-end=\"1434\">Where:<\/p>\n<ul data-start=\"1436\" data-end=\"2074\">\n<li data-start=\"1436\" data-end=\"1581\"><em><span class=\"katex\"><span class=\"katex-mathml\">P(X=k)<\/span><\/span><\/em>is the probability that exactly <span class=\"katex\"><span class=\"katex-mathml\">k <\/span><\/span> events (in this case, goals) occur during a time interval (the match).<\/li>\n<li data-start=\"1582\" data-end=\"1771\"><em><span class=\"katex\"><span class=\"katex-mathml\">\u03bb<\/span><\/span><\/em> is the average rate of events (goals) per time interval (for example, the average number of goals a team scores per match in a season or a specific period).<\/li>\n<li data-start=\"1772\" data-end=\"1881\"><em><span class=\"katex\"><span class=\"katex-mathml\">k <\/span><\/span><\/em>is the number of goals we are trying to predict (the event whose outcome we are looking for).<\/li>\n<li data-start=\"1882\" data-end=\"1954\"><em><span class=\"katex\"><span class=\"katex-mathml\">e<\/span><\/span><\/em> is the mathematical constant Euler&#8217;s number (approximately 2.71828).<\/li>\n<li data-start=\"1955\" data-end=\"2074\"><em><span class=\"katex\"><span class=\"katex-mathml\">k!<\/span><\/span><\/em>is the factorial of <em><span class=\"katex\"><span class=\"katex-mathml\">k<\/span><\/span><\/em>, which means the product of all integers from 1 to <em><span class=\"katex\"><span class=\"katex-mathml\">k<\/span><\/span><\/em>.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-bda8eea elementor-widget elementor-widget-heading\" data-id=\"bda8eea\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Explanation of the Formula\n\n\n<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2c389be elementor-widget elementor-widget-text-editor\" data-id=\"2c389be\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6565dc2 elementor-widget elementor-widget-text-editor\" data-id=\"6565dc2\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n<div class=\"elementor-widget-container\">\n<ul>\n<li data-start=\"2111\" data-end=\"2381\">\n<p data-start=\"2114\" data-end=\"2381\"><strong data-start=\"2114\" data-end=\"2156\">Average Goal Rate (<span class=\"katex\"><span class=\"katex-mathml\">\u03bb<\/span><\/span>)<\/strong>: The average rate <span class=\"katex\"><span class=\"katex-mathml\">\u03bb<\/span><\/span> is the number of goals a team scores on average in a match. This value is obtained by calculating the average number of goals from the team&#8217;s previous matches or from a particular season. <\/p>\n<\/li>\n<li data-start=\"2383\" data-end=\"2550\">\n<p data-start=\"2386\" data-end=\"2550\"><strong data-start=\"2386\" data-end=\"2425\">Expected Number of Goals (<span class=\"katex\"><span class=\"katex-mathml\">k<\/span><\/span>)<\/strong>: This is the exact number of goals you want to predict. It can be any integer (for example, 0, 1, 2, 3, etc.). <\/p>\n<\/li>\n<li data-start=\"2552\" data-end=\"2883\">\n<p data-start=\"2555\" data-end=\"2883\"><strong data-start=\"2555\" data-end=\"2585\">Probability Calculation<\/strong>: By substituting the values of <span class=\"katex\"><span class=\"katex-mathml\">\u03bb<\/span><\/span>and <br \/><span class=\"katex\"><span class=\"katex-mathml\">k<\/span><\/span> into the formula, you get the probability that the team will score exactly<span class=\"katex\"><span class=\"katex-mathml\">k<\/span><\/span> goals in the next match. This probability can be used to assess the odds offered by bookmakers and determine if there is value in the bets. <\/p>\n<\/li>\n<\/ul>\n<\/div>\n<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5d9da04 elementor-widget elementor-widget-heading\" data-id=\"5d9da04\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Practical example:\n\n\n\n<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ff080c7 elementor-widget elementor-widget-text-editor\" data-id=\"ff080c7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6565dc2 elementor-widget elementor-widget-text-editor\" data-id=\"6565dc2\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n<div class=\"elementor-widget-container\">\n<div class=\"elementor-element elementor-element-4195f56 elementor-widget elementor-widget-text-editor\" data-id=\"4195f56\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n<div class=\"elementor-widget-container\">\n<p data-start=\"2912\" data-end=\"3144\">Let&#8217;s imagine that a team has scored an average of 1.5 goals per match in the last 10 games. Using this data, we can calculate the probability of the team scoring exactly 2 goals in their next match. In this case:  <\/p>\n<ul data-start=\"3146\" data-end=\"3253\">\n<li data-start=\"3146\" data-end=\"3199\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">\u03bb<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">1.5<\/span><\/span><\/span><\/span> (average goals per match)<\/li>\n<li data-start=\"3200\" data-end=\"3253\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">k<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><\/span><\/span><\/span> (number of goals we want to predict)<\/li>\n<\/ul>\n<p data-start=\"3255\" data-end=\"3296\">Substituting these values into the formula:<\/p>\n<p><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><img decoding=\"async\" class=\"size-full wp-image-5700235 aligncenter\" src=\"https:\/\/www.bethunter.io\/wp-content\/uploads\/2025\/03\/hfgthgh.png\" alt=\"\" width=\"204\" height=\"71\" title=\"\"><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p data-start=\"3342\" data-end=\"3478\">This calculation gives us the probability that the team will score exactly 2 goals in their next match, according to the Poisson Distribution.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-86bc9ae elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"86bc9ae\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ff29d91\" data-id=\"ff29d91\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b62b2e5 elementor-widget elementor-widget-spacer\" data-id=\"b62b2e5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-aa70906 elementor-widget elementor-widget-heading\" data-id=\"aa70906\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<p class=\"elementor-heading-title elementor-size-default\">Does it really make sense to use the Poisson Distribution for sports betting?\n<\/p>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f51b731 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f51b731\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-96a22fd\" data-id=\"96a22fd\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-eed91a6 elementor-widget elementor-widget-image\" data-id=\"eed91a6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/www.bethunter.io\/wp-content\/uploads\/2024\/08\/150-1024x1024.png\" class=\"attachment-large size-large wp-image-5695663\" alt=\"\" srcset=\"https:\/\/www.bethunter.io\/wp-content\/uploads\/2024\/08\/150-1024x1024.png 1024w, https:\/\/www.bethunter.io\/wp-content\/uploads\/2024\/08\/150-300x300.png 300w, https:\/\/www.bethunter.io\/wp-content\/uploads\/2024\/08\/150-150x150.png 150w, https:\/\/www.bethunter.io\/wp-content\/uploads\/2024\/08\/150-768x768.png 768w, https:\/\/www.bethunter.io\/wp-content\/uploads\/2024\/08\/150.png 1080w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" title=\"\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-2fccd5c\" data-id=\"2fccd5c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8255e26 elementor-widget elementor-widget-text-editor\" data-id=\"8255e26\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p data-start=\"209\" data-end=\"374\">Although the Poisson Distribution is useful for estimating the probabilities of certain outcomes, it has several limitations in the field of sports betting:<\/p>\n<ol data-start=\"376\" data-end=\"1991\">\n<li data-start=\"376\" data-end=\"1056\">\n<p data-start=\"379\" data-end=\"1056\"><strong data-start=\"379\" data-end=\"433\">It&#8217;s not about doing calculations and past analysis:<\/strong> To win in sports betting in the long run, as we&#8217;ve demonstrated many times with BetHunter, it&#8217;s not just about performing mathematical calculations and statistics based on the past. It&#8217;s also not about fundamental analysis where we study factors like team form or player performance. <span class=\"JCzEY tNxQIb\"><span class=\"CSkcDe\"> \ud83d\udc49<\/span><\/span> <span style=\"text-decoration: underline;\">What really allows you to win in sports betting is finding real-time odds that are overvalued by the bookmakers.<\/span> If we identify those overestimated odds, we can take advantage of those errors to place value bets and generate sustainable profits. <\/p>\n<\/li>\n<li data-start=\"1058\" data-end=\"1443\">\n<p data-start=\"1061\" data-end=\"1443\"><strong data-start=\"1061\" data-end=\"1113\">It&#8217;s impossible to find these errors manually: <\/strong> Contrary to what many believe, it&#8217;s extremely difficult to manually detect these errors in odds to make <strong data-start=\"1248\" data-end=\"1260\">surebets <\/strong> or <strong data-start=\"1283\" data-end=\"1296\">value bets. <\/strong> Bookmakers constantly adjust their odds, and trying to find opportunities on your own is inefficient and unrealistic. <\/p>\n<\/li>\n<\/ol>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e2d3ca1 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e2d3ca1\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2a5e763\" data-id=\"2a5e763\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6bdfc8a elementor-widget elementor-widget-text-editor\" data-id=\"6bdfc8a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong data-start=\"1448\" data-end=\"1499\">The only way is to use automated software that performs sports arbitrage automatically:<\/strong> To exploit these errors effectively, you need software that analyzes thousands of odds in real time and automatically detects where there are profitable opportunities. <strong data-start=\"1676\" data-end=\"1687\">BetOven <\/strong> does exactly that: it scans bookmakers in milliseconds, identifies poorly adjusted odds, and allows you to take advantage of them before they are corrected. Thanks to this automation, you can maximize your profits without relying on limited statistical models or inefficient manual calculations. <\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b05021e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b05021e\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d3ff0f5\" data-id=\"d3ff0f5\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2d2a50a elementor-widget elementor-widget-spacer\" data-id=\"2d2a50a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7827ace elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7827ace\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-103fa9c\" data-id=\"103fa9c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-515b867 elementor-widget elementor-widget-heading\" data-id=\"515b867\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<p class=\"elementor-heading-title elementor-size-default\">Stop with manual betting... Maximize your profits by trying this AI for free. <\/p>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f50f083 elementor-widget elementor-widget-text-editor\" data-id=\"f50f083\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>BetOven <\/strong> is the number 1 automated sports arbitrage software, <span style=\"text-decoration: underline;\">specifically designed to automate the betting process while ensuring the maximization of our profits, both in surebets and valuebets.<\/span> It is such a powerful tool that it can <strong>detect errors made by bookmakers in real-time when setting their odds, and automatically place bets on these errors.<\/strong> <\/p>\n<p><u>In the following video, you can see how BetOven&#8217;s AI works and how you can try it for free to maximize your profits in sports betting:<\/u><\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-236da2d elementor-widget elementor-widget-video\" data-id=\"236da2d\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/www.youtube.com\\\/watch?v=WIJWJeXh4Ug&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6b7ccb4 elementor-widget elementor-widget-spacer\" data-id=\"6b7ccb4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9f04fad elementor-mobile-align-center elementor-align-center elementor-widget elementor-widget-button\" data-id=\"9f04fad\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-md\" href=\"https:\/\/www.bethunter.io\/en\/try-betoven-free\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Try BetOven's AI for FREE<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fbb2069 elementor-widget elementor-widget-spacer\" data-id=\"fbb2069\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a206916 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a206916\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-6948547\" data-id=\"6948547\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-91c4c70 elementor-widget elementor-widget-heading\" data-id=\"91c4c70\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">The Best Free Training\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-16f26f9 elementor-widget elementor-widget-text-editor\" data-id=\"16f26f9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>If you would also like to learn more about the world of sports arbitrage to maximise your winnings? You will have access to the <strong>best Artificial Intelligence Sports Betting Course!&nbsp;<\/strong> <br> <\/p>\n<div data-id=\"b5ed030\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n<div>\n<p>In this training, you&#8217;ll learn how to <strong>perform automated sports betting trading<\/strong> with the support of the innovative artificial intelligence software <strong>BetOven<\/strong>, a tool designed to simplify and optimize your strategy, allowing you to delegate the complex work while maximizing your results.<\/p>\n<div class=\"elementor-element elementor-element-b7ad912 elementor-widget__width-initial elementor-widget elementor-widget-text-editor\" data-id=\"b7ad912\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n<div class=\"elementor-widget-container\">\n<p>\u2714\ufe0f 1<strong>00% Results-Oriented:<\/strong> Designed to help you maximize your profits from day one.<\/p>\n<p>\u2714\ufe0f <strong>100 Free: Learn at no cost and access premium-quality content.<br><\/strong><\/p>\n<p>\u2714\ufe0f <strong>For All Levels:<\/strong> From beginners to experts, our content adapts to your needs.<br><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-d840c13\" data-id=\"d840c13\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-87179bf elementor-widget elementor-widget-spacer\" data-id=\"87179bf\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-438ef0d elementor-widget elementor-widget-image\" data-id=\"438ef0d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/www.bethunter.io\/wp-content\/uploads\/2025\/03\/249-1024x1024.png\" class=\"attachment-large size-large wp-image-5700090\" alt=\"\" srcset=\"https:\/\/www.bethunter.io\/wp-content\/uploads\/2025\/03\/249-1024x1024.png 1024w, https:\/\/www.bethunter.io\/wp-content\/uploads\/2025\/03\/249-300x300.png 300w, https:\/\/www.bethunter.io\/wp-content\/uploads\/2025\/03\/249-150x150.png 150w, https:\/\/www.bethunter.io\/wp-content\/uploads\/2025\/03\/249-768x768.png 768w, https:\/\/www.bethunter.io\/wp-content\/uploads\/2025\/03\/249.png 1080w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" title=\"\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4a60824 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4a60824\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ee878c8\" data-id=\"ee878c8\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e43ed27 elementor-mobile-align-center elementor-align-center elementor-widget elementor-widget-button\" data-id=\"e43ed27\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-md\" href=\"https:\/\/www.bethunter.io\/en\/try-betoven-free\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Access the Free Course!<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8a5e6f0 elementor-widget elementor-widget-spacer\" data-id=\"8a5e6f0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>What is Poisson Distribution and how to use it in sports betting? If you&#8217;re an experienced bettor, you may have heard of Poisson Distribution applied to sports betting. 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