Question

In a lottery, a person choose, six different natural numbers at random from 1 to 20, and if these six numbers match with the six numbers match with the six numbers already fixed by the lottery committee, he wins the prize. What is the probability of winning the prize in the game? (order of the numbers is not important).

Answer 1

A person can choose 6 natural number out of 20 in 20C6 ways.

n( *)= MC6

Let A : ‘he wins the prize’

∴ n(A) = 6C6 = 1

∵ There is only one chance which will match the six numbers already fixed by the committee.