{"id":67170,"date":"2026-10-20T09:51:48","date_gmt":"2026-10-20T06:51:48","guid":{"rendered":"https:\/\/wpcalc.com\/en\/?p=67170"},"modified":"2026-10-20T09:51:48","modified_gmt":"2026-10-20T06:51:48","slug":"betting-odds-calculator-and-converter","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/life\/betting-odds-calculator-and-converter\/","title":{"rendered":"Betting Odds Calculator and Converter"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Convert Odds, Calculate Payouts, or Check a Market<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"67170\" data-favorite-title=\"Betting Odds\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/life\/betting-odds-calculator-and-converter\/\" data-favorite-excerpt=\"Convert American, decimal, fractional, or implied-probability odds; calculate single-bet and parlay payouts; or check a market\u2019s bookmaker margin. Choose a tab and enter the relevant odds and stake.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-wpcalc-dice\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/en\/life\/betting-odds-calculator-and-converter\/\" method=\"POST\" class=\"calculator\" id=\"calculator-67170\" data-post=\"67170\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field is-single\" id=\"input-1\"><label for=\"field-1\">Calculator tab<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"calculator_tab\"><option value=\"single\" selected>Single bet<\/option><option value=\"parlay\">Parlay<\/option><option value=\"margin\">Bookmaker margin<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"is-single field\" id=\"input-2\"><span class=\"font-semibold\">Single bet<\/span><\/div><div class=\"field\" id=\"input-3\"><label for=\"field-3\">Odds format<\/label><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"odds_format\"><option value=\"american\" selected>American<\/option><option value=\"decimal\">Decimal<\/option><option value=\"fractional\">Fractional<\/option><option value=\"probability\">Implied probability (%)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field\" id=\"input-4\"><label for=\"field-4\">Odds<\/label><input type=\"text\" name=\"odds\" id=\"field-4\" aria-describedby=\"calc-info-4\" placeholder=\"+150\" step=\"any\" value=\"+150\"\/><small id=\"calc-info-4\">Enter odds in the selected format, such as +150, 2.50, 3\/2, or 40.<\/small><\/div><div class=\"field\" id=\"input-5\"><label for=\"field-5\">Stake<\/label><div class=\"field-group\"><input type=\"text\" name=\"stake\" id=\"field-5\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"20\"\/><div class=\"grid grid-cols-1\"><select id=\"field-6\" name=\"currency\" aria-label=\"Currency\"><option value=\"USD\" selected>USD<\/option><option value=\"EUR\">EUR<\/option><option value=\"GBP\">GBP<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/div><div class=\"is-single field\" id=\"input-6\"><span class=\"font-semibold\">Parlay<\/span><\/div><div class=\"field\" id=\"input-7\"><label for=\"field-8\">Leg odds format<\/label><div class=\"grid grid-cols-1\"><select id=\"field-8\" name=\"leg_odds_format\"><option value=\"american\" selected>American<\/option><option value=\"decimal\">Decimal<\/option><option value=\"fractional\">Fractional<\/option><option value=\"probability\">Implied probability (%)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field\" id=\"input-8\"><label for=\"field-9\">Number of legs<\/label><div class=\"grid grid-cols-1\"><select id=\"field-9\" name=\"number_of_legs\"><option value=\"2\" selected>2<\/option><option value=\"3\">3<\/option><option value=\"4\">4<\/option><option value=\"5\">5<\/option><option value=\"6\">6<\/option><option value=\"7\">7<\/option><option value=\"8\">8<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field\" id=\"input-9\"><label for=\"field-10\">Leg 1 odds<\/label><input type=\"text\" name=\"leg_1_odds\" id=\"field-10\" placeholder=\"+150\" step=\"any\" value=\"+150\"\/><\/div><div class=\"field\" id=\"input-10\"><label for=\"field-11\">Leg 2 odds<\/label><input type=\"text\" name=\"leg_2_odds\" id=\"field-11\" placeholder=\"-110\" step=\"any\" value=\"-110\"\/><\/div><div class=\"field\" id=\"input-11\" hidden><label for=\"field-12\">Leg 3 odds<\/label><input type=\"text\" name=\"leg_3_odds\" id=\"field-12\" placeholder=\"+120\" step=\"any\" value=\"+120\"\/><\/div><div class=\"field\" id=\"input-12\" hidden><label for=\"field-13\">Leg 4 odds<\/label><input type=\"text\" name=\"leg_4_odds\" id=\"field-13\" placeholder=\"-110\" step=\"any\" value=\"-110\"\/><\/div><div class=\"field\" id=\"input-13\" hidden><label for=\"field-14\">Leg 5 odds<\/label><input type=\"text\" name=\"leg_5_odds\" id=\"field-14\" placeholder=\"+100\" step=\"any\" value=\"+100\"\/><\/div><div class=\"field\" id=\"input-14\" hidden><label for=\"field-15\">Leg 6 odds<\/label><input type=\"text\" name=\"leg_6_odds\" id=\"field-15\" placeholder=\"+150\" step=\"any\" value=\"+150\"\/><\/div><div class=\"field\" id=\"input-15\" hidden><label for=\"field-16\">Leg 7 odds<\/label><input type=\"text\" name=\"leg_7_odds\" id=\"field-16\" placeholder=\"-120\" step=\"any\" value=\"-120\"\/><\/div><div class=\"field\" id=\"input-16\" hidden><label for=\"field-17\">Leg 8 odds<\/label><input type=\"text\" name=\"leg_8_odds\" id=\"field-17\" placeholder=\"+110\" step=\"any\" value=\"+110\"\/><\/div><div class=\"field\" id=\"input-17\"><label for=\"field-18\">Parlay stake<\/label><div class=\"field-group\"><input type=\"text\" name=\"parlay_stake\" id=\"field-18\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"20\"\/><div class=\"grid grid-cols-1\"><select id=\"field-19\" name=\"currency\" aria-label=\"Currency\"><option value=\"USD\" selected>USD<\/option><option value=\"EUR\">EUR<\/option><option value=\"GBP\">GBP<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/div><div class=\"is-single field\" id=\"input-18\"><span class=\"font-semibold\">Bookmaker margin<\/span><\/div><div class=\"field\" id=\"input-19\"><label for=\"field-21\">Market odds format<\/label><div class=\"grid grid-cols-1\"><select id=\"field-21\" name=\"market_odds_format\"><option value=\"american\" selected>American<\/option><option value=\"decimal\">Decimal<\/option><option value=\"fractional\">Fractional<\/option><option value=\"probability\">Implied probability (%)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field is-single\" id=\"input-20\"><label for=\"field-22\">Odds for every outcome<\/label><textarea id=\"field-22\" name=\"odds_for_every_outcome\">-110; -110<\/textarea><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"67170\">Calculate<\/button><button type=\"reset\">Reset<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calculate automatically<\/label><small>If enabled, the result will update automatically when you change any value.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Odds and Payout Results<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Decimal odds<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>American odds<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-3\"><span class=\"field-title\"><span>Fractional odds<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-4\"><span class=\"field-title\"><span>Implied probability<\/span><\/span><span class=\"field-value\" id=\"result-4\" data-unit=\"%\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-5\"><span class=\"field-title\"><span>Profit if the bet wins<\/span><\/span><span class=\"field-value\" id=\"result-5\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-6\"><span class=\"field-title\"><span>Total return if the bet wins<\/span><\/span><span class=\"field-value\" id=\"result-6\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-7\"><span class=\"field-title\"><span>Combined decimal odds<\/span><\/span><span class=\"field-value\" id=\"result-7\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-8\"><span class=\"field-title\"><span>Parlay implied probability<\/span><\/span><span class=\"field-value\" id=\"result-8\" data-unit=\"%\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-9\"><span class=\"field-title\"><span>Parlay profit if all legs win<\/span><\/span><span class=\"field-value\" id=\"result-9\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-10\"><span class=\"field-title\"><span>Parlay total return if all legs win<\/span><\/span><span class=\"field-value\" id=\"result-10\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-11\"><span class=\"field-title\"><span>Bookmaker overround<\/span><\/span><span class=\"field-value\" id=\"result-11\" data-unit=\"%\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-12\"><span class=\"field-title\"><span>Total implied probability<\/span><\/span><span class=\"field-value\" id=\"result-12\" data-unit=\"%\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-13\"><span class=\"field-title\"><span>No-vig fair odds by outcome<\/span><\/span><span class=\"field-value\" id=\"result-13\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Copy link to this calculation<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Leave a Comment<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"67170\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">How did this result make you feel?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Like <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Helpful <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Confused <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Disappointed <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Inaccurate <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Betting Odds Formula<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Formula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[D=\\begin{cases}1+A\/100,&amp;A&gt;0\\\\1+100\/|A|,&amp;A&lt;0\\end{cases}\\]\n\\[D=1+a\/b\\quad\\text{for fractional odds }a\/b;\\qquad D=100\/q\\quad\\text{for implied probability }q\\%\\]\n\\[\\text{Implied probability}=100\/D\\%;\\qquad\\text{Profit}=S(D-1);\\qquad\\text{Total return}=SD\\]\n\\[D_{\\mathrm{parlay}}=\\prod_{i=1}^{n}D_i;\\qquad\\text{Overround}=\\left(\\sum_{i=1}^{n}\\frac{1}{D_i}-1\\right)100\\%\\]\n\\[\\text{No-vig probability for outcome }i=\\frac{1\/D_i}{\\sum_{j=1}^{n}1\/D_j}\\times100\\%\\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(D\\) \u2014 decimal odds; \\(D_i\\) \u2014 decimal odds for leg or outcome \\(i\\).<\/li>\n<li>\\(A\\) \u2014 signed American odds; \\(a\/b\\) \u2014 fractional odds; \\(q\\) \u2014 implied probability entered as a percentage.<\/li>\n<li>\\(S\\) \u2014 stake in the selected currency; \\(n\\) \u2014 number of parlay legs or market outcomes.<\/li>\n<\/ul>\n<p>All accepted odds are converted to decimal odds before payouts are calculated. The market calculation sums the implied probabilities of every listed outcome, then normalizes them to produce no-vig probabilities.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-459\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Betting Odds \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> with the default Single bet settings, you stake $20 at American odds of +150.<\/p>\n<p>\\[D=1+\\frac{150}{100}=2.50;\\qquad\\text{Implied probability}=\\frac{100}{2.50}=40\\%\\]<\/p>\n<p>\\[\\text{Profit}=\\$20(2.50-1)=\\$30.00;\\qquad\\text{Total return}=\\$20(2.50)=\\$50.00\\]<\/p>\n<p><strong>Result:<\/strong> a winning bet makes $30.00 profit and returns $50.00 in total, including the $20.00 stake.<\/p>\n<p>\n\r\n<\/section>\n<h2>How to use the calculator<\/h2>\n<ol>\n<li>Choose <strong>Calculator tab<\/strong>: Single bet, Parlay, or Bookmaker margin. Only the fields for that tab affect its result.<\/li>\n<li>For a single bet, choose <strong>Odds format<\/strong>, enter <strong>Odds<\/strong>, then enter <strong>Stake<\/strong> and select its <strong>Currency<\/strong>. Read the converted odds, implied probability, profit, and total return.<\/li>\n<li>For a parlay, choose <strong>Leg odds format<\/strong> and <strong>Number of legs<\/strong> from 2 to 8. Fill in each visible <strong>Leg 1 odds<\/strong>, <strong>Leg 2 odds<\/strong>, and any additional leg-odds fields. Enter <strong>Parlay stake<\/strong> and its <strong>Currency<\/strong>. The payout assumes every leg wins.<\/li>\n<li>To check a market, choose <strong>Market odds format<\/strong> and enter <strong>Odds for every outcome<\/strong>. Include all 2\u201320 mutually exclusive outcomes, separated by semicolons, spaces, or new lines. Read the total implied probability, overround, and no-vig fair odds by outcome.<\/li>\n<\/ol>\n<h2>What betting odds and the results mean<\/h2>\n<p>Betting odds describe a potential payout relative to a stake. Decimal odds show the total return per unit staked, including the original stake: 2.50 means a winning $1 stake returns $2.50. Fractional odds show profit relative to stake, so 3\/2 means $1.50 profit per $1 staked. American odds use +150 for $150 profit on a $100 stake and \u2212110 for approximately $100 profit on a $110 stake. These are different ways to express the same price.<\/p>\n<p><strong>Implied probability<\/strong> is the break-even win rate indicated by the odds, not an independent prediction of the event\u2019s true chance. At decimal odds of 2.50, it is 40% before considering any bookmaker margin. <strong>Profit if the bet wins<\/strong> excludes your stake; <strong>Total return if the bet wins<\/strong> includes it. Both are conditional amounts, not guaranteed or expected earnings.<\/p>\n<p>A parlay multiplies its legs\u2019 decimal odds to find the combined price. With the default two legs, +150 and \u2212110, the combined decimal odds are approximately 4.77272727. A $20 parlay stake would return $95.45, including $75.45 profit, if both legs win. The displayed parlay implied probability is approximately 20.95238095%. Multiplying leg-implied probabilities is a property of the offered combined price; it does not establish the real chance that all legs win.<\/p>\n<p>In the Bookmaker margin tab, <strong>total implied probability<\/strong> adds the implied probabilities of all entered outcomes. <strong>Bookmaker overround<\/strong> is that total minus 100 percentage points. The default two-outcome market of \u2212110; \u2212110 totals approximately 104.761905%, for an overround of 4.761905%. Normalizing those two probabilities gives each outcome a 50% no-vig probability, equivalent to decimal odds of 2.00 or American odds of +100. These are margin-removed estimates, not independently assessed probabilities.<\/p>\n<h2>Assumptions and practical limits<\/h2>\n<ul>\n<li>Use one odds format throughout a parlay or market entry. American odds need a sign and a whole number, such as +150 or -110; fractional odds need a numerator and denominator, such as 3\/2. Decimal odds must exceed 1, and entered implied probabilities must be greater than 0% and less than 100%.<\/li>\n<li>A market check is meaningful only when the list includes every outcome in the same market. Missing outcomes distort the overround and no-vig figures. An overround measures the prices offered across the market; it is not a guaranteed profit rate for the bookmaker.<\/li>\n<li>The payout calculations assume the stated odds apply, every selected bet wins, and there are no taxes, fees, void bets, or settlement adjustments. Currency selection changes the displayed symbol, not the odds or an exchange rate. Displayed fractional odds may be approximations.<\/li>\n<li>Keep potential winnings out of money you have already committed to spend. For other expenses, a <a href=\"https:\/\/wpcalc.com\/en\/life\/travel-budget-calculator\/\">travel budget<\/a> can help plan a trip, while a <a href=\"https:\/\/wpcalc.com\/en\/life\/bill-split-calculator\/\">bill split calculator<\/a> can divide shared costs.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Convert American, decimal, fractional, or implied-probability odds; calculate single-bet and parlay payouts; or check a market\u2019s bookmaker margin. Choose a tab and enter the relevant odds and stake.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[6],"tags":[101],"class_list":["post-67170","post","type-post","status-publish","format-standard","hentry","category-life","tag-games-chance"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/67170","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=67170"}],"version-history":[{"count":1,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/67170\/revisions"}],"predecessor-version":[{"id":67203,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/67170\/revisions\/67203"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=67170"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=67170"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=67170"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}