﻿ In a game called “odd man out man out”, m(m > 2) persons toss a coin to determine who will buy refreshments for the entire group. A person who gets an outcome different from that of the rest of the members of the group is called the odd man out. The probability that there is a loser in any game is : Kaysons Education

# In A Game Called “odd Man Out Man Out”, m(m > 2) Persons Toss A Coin To Determine Who Will Buy Refreshments For The Entire Group. A Person Who Gets An Outcome Different From That Of The Rest Of The Members Of The Group Is Called The Odd Man Out. The Probability That There Is A Loser In Any Game Is

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## Question

### Solution

Correct option is

m /2m–1

Let A denote the event that there is an odd man out in a game. The total number of possible cases is 2m. A person is odd man out if he is alone in getting a head or a tail. The number of ways in which there is exactly one tail (head) and the rest are heads (tails) is

.

Thus, the number of favorable ways is m + 2m. Therefore,

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