Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

If a basketball player is a 90% free-throw shooter what are the chances he makes 106 in a row?

share|improve this question
Maybe you could take some time to accept the answers from your previous questions first. –  Patrick Li Oct 13 '12 at 2:19
What are your own ideas on how to approach the question? –  Dilip Sarwate Oct 13 '12 at 2:19
If all the free throws are independent of one another, this is a binomial process. Since you're asking for the conjunction of events, 0.9^k is the probability of making k straight shots, so 0.9^106=0.0000141158 is the probability of making 106. Probability&statistics 101. –  alancalvitti Oct 13 '12 at 2:32
@PatrickLi wasn't aware that was part of the process –  jim_shook Oct 13 '12 at 5:37
Of course the assumption that successive shots are independent is unrealistic. But that never stopped homework writers. –  GEdgar Oct 13 '12 at 18:33

1 Answer 1

up vote 1 down vote accepted

Given that the shooter makes 90% of its shots, the odds it makes $n$ shots in a row is given by the formula $p = 0.9^n$. Therefore, the odds of it making 106 shots in a row is simply $0.9^{106}$, which equals roughly 0.000014, or 0.0014%.

share|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.