{"success":true,"version":"v1","request":{"tool":"get_calculator_schema","calculator_id":"parlay-odds"},"result":{"entity_type":"calculator","id":"parlay-odds","calculator_id":"parlay-odds","canonical_url":"https://tttkmbb.com/gaming/parlay-odds","name":"Parlay Odds Calculator","title":"Parlay Odds Calculator – Combined Accumulator Odds, Payout and Implied Probability","category":"gaming","category_name":"Games & Betting Math","tool_name":"calculate_parlay_odds","featured_mcp_tool":false,"description":"Multiplies the decimal odds of 2–15 independent legs into the combined parlay (accumulator) price and reports the total payout, profit and implied probability of all legs winning.","use_when":"You want the combined odds or payout of a multi-leg parlay, accumulator or multi from the decimal price of each leg.","do_not_use_when":"The legs are correlated (same-game parlays are priced differently by bookmakers), you need a single price converted between formats (use odds-converter), or you want to know whether the bet has positive expected value (use bet-expected-value). Mathematics only; not gambling advice.","inputs":[{"name":"decimal_odds","label":"Decimal odds of each leg","type":"number_list","required":true,"description":"Decimal odds of every leg, each greater than 1, e.g. 1.91, 2.10, 1.50. Convert American or fractional prices first with odds-converter.","example":[1.91,2.1,1.5]},{"name":"stake","label":"Stake","type":"number","required":false,"default":100,"max":1000000000,"exclusive_min":0,"description":"Amount wagered on the whole parlay (any currency).","example":100}],"outputs":[{"name":"combined_decimal_odds","label":"Combined decimal odds","type":"number","decimals":4,"description":"Product of all leg odds."},{"name":"combined_american","label":"Combined American odds","type":"string","decimals":4,"description":"The combined price as a signed moneyline, rounded to a whole number."},{"name":"total_payout","label":"Total payout","type":"number","decimals":2,"description":"stake × combined odds (stake included)."},{"name":"profit","label":"Profit","type":"number","decimals":2,"description":"total_payout − stake."},{"name":"implied_probability_percent","label":"Implied probability (all legs win)","type":"number","unit":"%","decimals":2,"description":"100 / combined odds = product of the legs' implied probabilities."},{"name":"legs","label":"Number of legs","type":"integer","decimals":0,"description":"How many selections were combined."}],"input_schema":{"type":"object","properties":{"decimal_odds":{"description":"Decimal odds of every leg, each greater than 1, e.g. 1.91, 2.10, 1.50. Convert American or fractional prices first with odds-converter.","type":"array","items":{"type":"number"},"minItems":2,"examples":[[1.91,2.1,1.5]]},"stake":{"description":"Amount wagered on the whole parlay (any currency).","type":"number","maximum":1000000000,"exclusiveMinimum":0,"default":100,"examples":[100]}},"additionalProperties":false,"required":["decimal_odds"]},"output_schema":{"type":"object","properties":{"combined_decimal_odds":{"description":"Product of all leg odds.","type":"number"},"combined_american":{"description":"The combined price as a signed moneyline, rounded to a whole number.","type":"string"},"total_payout":{"description":"stake × combined odds (stake included).","type":"number"},"profit":{"description":"total_payout − stake.","type":"number"},"implied_probability_percent":{"description":"100 / combined odds = product of the legs' implied probabilities. Unit: %.","type":"number","x-unit":"%"},"legs":{"description":"How many selections were combined.","type":"integer"}}},"formula":"combined_decimal_odds = Π decimal_odds_i; total_payout = stake × combined_decimal_odds; profit = total_payout − stake; implied_probability_percent = 100 / combined_decimal_odds","method":"Assumes the legs are independent events so that their implied probabilities multiply; every leg must win for the parlay to pay. The bookmaker margin of each leg compounds in the combined price. Probability mathematics only; not gambling advice.","sources":[{"name":"Parlay (gambling) (Wikipedia)","url":"https://en.wikipedia.org/wiki/Parlay_(gambling)","type":"reference","retrieved_at":"2026-09-24"},{"name":"Odds – moneyline, decimal and fractional odds and implied probability (Wikipedia)","url":"https://en.wikipedia.org/wiki/Odds","type":"reference","retrieved_at":"2026-09-24"}],"freshness":{"type":"static","max_age_seconds":null,"note":"Deterministic formula with fixed constants; results never go stale. Inputs supplied by the caller determine the output."},"examples":[{"name":"Three legs 1.91, 2.10, 1.50 with stake 100","inputs":{"decimal_odds":[1.91,2.1,1.5],"stake":100},"expected":{"combined_decimal_odds":6.0165,"combined_american":"+502","total_payout":601.65,"profit":501.65,"implied_probability_percent":16.62,"legs":3},"url":"https://tttkmbb.com/api/v1/calculate/parlay-odds?decimal_odds=1.91%2C2.1%2C1.5&stake=100"},{"name":"Four even-money legs with stake 10","inputs":{"decimal_odds":[2,2,2,2],"stake":10},"expected":{"combined_decimal_odds":16,"combined_american":"+1500","total_payout":160,"profit":150,"implied_probability_percent":6.25,"legs":4},"url":"https://tttkmbb.com/api/v1/calculate/parlay-odds?decimal_odds=2%2C2%2C2%2C2&stake=10"}],"faq":[{"q":"Can I enter American or fractional odds?","a":"No, each leg must be in decimal form. Convert -110 (1.909) or 3/2 (2.50) with odds-converter first, keeping at least three decimals."},{"q":"Why is the implied probability so low?","a":"It is the product of every leg's implied probability, and each leg carries the bookmaker's margin, so the margin compounds with the number of legs."}],"tags":["parlay calculator","accumulator odds","multi bet","combined odds","parlay payout"],"related":[{"calculator_id":"odds-converter","reason":"Convert each leg to decimal odds before combining."},{"calculator_id":"probability-of-events","reason":"Probability that independent events all occur."},{"calculator_id":"bet-expected-value","reason":"Expected value of the parlay from your own probability estimate."}],"links":{"html":"https://tttkmbb.com/gaming/parlay-odds","markdown":"https://tttkmbb.com/gaming/parlay-odds.md","json":"https://tttkmbb.com/gaming/parlay-odds.json","api":"https://tttkmbb.com/api/v1/calculate/parlay-odds","schema":"https://tttkmbb.com/api/v1/calculators/parlay-odds","openapi":"https://tttkmbb.com/openapi.json","mcp":"https://tttkmbb.com/mcp"},"version":"v1","updated_at":"2026-09-24"},"timestamp":"2026-09-24T03:44:31Z"}