Question

Great wrestler from many years ago Assuming he has a 70% probability of a) winning his...

Great wrestler from many years ago Assuming he has a 70% probability of

a) winning his matches what are the chances he could win 10 matches in a row before his first loss?

b) winning exactly 10 out of his first 12 matches (assuming he did not die in the ones he lost)

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Answer #1

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We use the binomial distribution to solve this problem:

a. 10 wins and then 11th game is a loss = (.7^10)*(.3^1) = 0.0283

b. P(winning any 10 of 12 matches) = 12C10 *(.7^10)*(.3^2) = 0.1678

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