Flipping a tail is a 1/2 chance, but flipping 6 tails in a row is a 1/64, so if after flipping 5 tails, why is it incorrect to say that your chance of flipping another tail is now lower, like you’re “bound” to get a head? I know this is the gambler’s fallacy, but why is it a fallacy? I get that each coin flip is independent, but it feels right (as fallacies often do) that in consecutive flips the previous events matter? Please, help me see it in a different way.
In: Mathematics
>it feels right (as fallacies often do) that in consecutive flips the previous events matter?
Why does it feel right?
How would a coin know what was the previous flip?
What would the mechanism be?
Do you believe in some force like luck or fate or God controlling what happens with the next coin flip?
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