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Calculator · from Lesson 3.5

Is a result "due"?

What it’s telling you, step by step: Lesson 3.5: Law of large numbers and the gambler's fallacy

Try it · Coin run simulator
40%60%True 53%02004006008001,000
Every bet, left to right: green won, red lost. The longest losing run is boxed.
Final win rate
51.6%
Longest losing run
11
Chance of a 7+ run
93.46%
Any particular 7
0.51%
Exact chance of at least one run of 7 or more losers in 1,000 bets: 93.46%. Chance of any particular 7 bets all losing: (1 − 53%)7 = 0.51%.
After 3 or more losers in a row, the next bet won 55 of 114 times (48.2%). True chance: 53%. Nothing is due. The next bet is still 53%.
The shaded funnel is where 95% of running win rates should sit at each point. Early on anything goes; by the end the line hugs the true chance, not because the past was balanced out, but because the early noise gets swamped.
18+ only. Educational content, not financial or betting advice. Past results do not guarantee future returns. If gambling stops being fun, get free, confidential help at BeGambleAware.org.
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