# math

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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?

• math -

That each toss is independent and the probability of heads on the next toss is 0.5

• math -

the probability is that yes it would land on heads.

• math -

Believe Damon.

The probability of getting six heads in a row is very small ([1/2]^6 = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2). However, once you have tossed 5 heads in a row, the probability of getting a head on the sixth toss is still 1/2 = .5.

I hope this helps a little more.

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