Safety, controls and misconceptions
What is the gambler's fallacy in a coin flip?
Direct answer
The gambler’s fallacy is the mistaken belief that earlier independent results affect the next fair coin flip. Five heads in a row still leave the next fair toss at 50% heads and 50% tails.
How to use this answer
This answer is based on the mathematical principle or published rule identified in the source below. If the question involves a live betting market, confirm its settlement definition before applying it to a specific bet.
It is the mistaken belief that past independent outcomes change the next fair flip's probability.
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Reference: lotterywest.wa.gov.au · published rules or source ↗