Question

A student claims that if a fair coin is tossed and comes
up heads 5 times in a row, then, according to the law
of averages, the probability of tails on the next toss
is greater than the probability of heads. What is your
reply?

Answer 1

No matter what comes up or how often you get heads, the chance for each individual throw is always the same -- 1 chance out of 2.

Answer 2

The previous tosses do not effect later tosses; they are independent.

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