{"dataset":"losing-streak-odds","title":"Losing streak odds","license":"CC BY 4.0","licenseUrl":"https://creativecommons.org/licenses/by/4.0/","credit":"George Li, georgelipoker.com","description":"The exact chance of at least one run of losses in a row of a given length within a number of independent trials, for win chances of 40, 50 and 60 percent.","data":{"meta":{"description":"The chance of at least one run of losses in a row of a given length within a number of independent trials, each won with the same chance. A trial can stand for a session, a tournament or an all-in.","method":"Exact, by dynamic programming over the trial on which the first such run ends; no simulation. Chances are fractions from 0 to 1, rounded to 8 decimals.","rounding":"A chance written as 1 is above 0.999999995, not certain: with any win chance above 0, winning often enough to avoid the run is always possible, so every exact chance in this table is below 1.","winChances":[0.4,0.5,0.6],"trials":[100,500,1000],"runLengths":[5,8,12]},"rows":[{"winChance":0.4,"trials":100,"runLength":5,"chance":0.97583972},{"winChance":0.4,"trials":100,"runLength":8,"chance":0.48971982},{"winChance":0.4,"trials":100,"runLength":12,"chance":0.07652542},{"winChance":0.4,"trials":500,"runLength":5,"chance":0.99999999},{"winChance":0.4,"trials":500,"runLength":8,"chance":0.97064501},{"winChance":0.4,"trials":500,"runLength":12,"chance":0.35062894},{"winChance":0.4,"trials":1000,"runLength":5,"chance":1},{"winChance":0.4,"trials":1000,"runLength":8,"chance":0.99917297},{"winChance":0.4,"trials":1000,"runLength":12,"chance":0.58185403},{"winChance":0.5,"trials":100,"runLength":5,"chance":0.8101096},{"winChance":0.5,"trials":100,"runLength":8,"chance":0.17020796},{"winChance":0.5,"trials":100,"runLength":12,"chance":0.01094168},{"winChance":0.5,"trials":500,"runLength":5,"chance":0.9998026},{"winChance":0.5,"trials":500,"runLength":8,"chance":0.62511383},{"winChance":0.5,"trials":500,"runLength":12,"chance":0.05814579},{"winChance":0.5,"trials":1000,"runLength":5,"chance":0.99999996},{"winChance":0.5,"trials":1000,"runLength":8,"chance":0.86114481},{"winChance":0.5,"trials":1000,"runLength":12,"chance":0.11399553},{"winChance":0.6,"trials":100,"runLength":5,"chance":0.45907367},{"winChance":0.6,"trials":100,"runLength":8,"chance":0.03627513},{"winChance":0.6,"trials":100,"runLength":12,"chance":0.00090231},{"winChance":0.6,"trials":500,"runLength":5,"chance":0.95755709},{"winChance":0.6,"trials":500,"runLength":8,"chance":0.17697128},{"winChance":0.6,"trials":500,"runLength":12,"chance":0.00491763},{"winChance":0.6,"trials":1000,"runLength":5,"chance":0.99823746},{"winChance":0.6,"trials":1000,"runLength":8,"chance":0.32431793},{"winChance":0.6,"trials":1000,"runLength":12,"chance":0.00991409}]}}