SOLUTION: A man claims to have extrasensory perception. As a test, a fair coin is flipped 22 times, and the man is asked to predict the outcome in advance. He gets 18 out of 22 correct. What
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Question 443602: A man claims to have extrasensory perception. As a test, a fair coin is flipped 22 times, and the man is asked to predict the outcome in advance. He gets 18 out of 22 correct. What is the probability that he would have done at least this well if he had no ESP? Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website! r=.5 and w=.5 [for right and wrong guesses]
r^22+22r^21w+231r^20w^2+1540r^19w^3+7315r^18w^4=.002172 [from the partial expansion of the binomial (r+w)^22]
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Ed