﻿ One hundred identical coins, each with probability of head 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, the value of p is : Kaysons Education

# One Hundred Identical Coins, Each With Probability Of Head 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, The Value Of p is

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## Question

### Solution

Correct option is

51/101

Let X be the number of coins showing heads. Then X follows a binomial distribution with parameters n = 100 and p. since P (X = 50) = P (X = 51), we get

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