Question

A committee has five women and four men. (All the committee members are distinguishable.) How many ways can they stand in a row for a photograph, so that at least two of the women are standing next to each other?

Answer 1

The answer is 0.992

Explanation:

To calculate of the probability of the event that at least two of the women are standing next to each other. We can simple subtract the probability of every women standing with a man from 1. So probability of every women standing with a man is 5!*4!/9!. Because they can only stand in order of WmWmWmWmW. So the answer is:

`P(a)=1-(5!*4!)/9!=1-0.008=0.992`