Question

One hundred identical coins, each with probability p, of showing up heads are tossed once. If 0 < p < 1 and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, then the value of p is

(a) 1/2

(b) 49/101

(c) 50/101

(d) 51/101

Answer 1

The correct option is (d) 51/101

Explanation:

Let X be the number of coins showing heads. Let X be a binomial variate with parameters n = 100 and p.