Answer:
0.9375
Step-by-step explanation:
Given that a man claims to have extrasensory perception. As a test, a fair coin is flipped 10 times and the man is asked to pick the outcome in advance. (‘Fair’ means here that heads and tails are equally likely.) He gets 7 correct.
Suppose he has done only by guessing then probability would be:
Let X be no of head obtained by tossing a coin 10 times
X is binomial because each trial is independent and probability is 0.5
Reqd probability
= P(X=7) = [tex]10C7(0.5)^7\\\\= =0.9375[/tex]
The probability he would have done just as well (that is guessed 7 or more correctly) by randomly guessing is 0.9375
