Question

A fair coin is tossed 15 times. Determine the probability in which no heads turned up.

(a) 2.549 * 10^-3

(b) 0.976

(c) 3.051 * 10^-5

(d) 5.471

I have been asked this question by my college professor while I was bunking the class.

This interesting question is from Counting in division Counting of Discrete Mathematics

Answer 1

The correct answer is (c) 3.051 * 10^-5

Easiest explanation: According to the null hypothesis it is a fair coin and so in that case the probability of flipping at least 59% tails is = ^15C0(0.5)^15 = 3.051 * 10^-5.