Question

A and B play a game, where each is asked to select a number from 1 to 25. If the two numbers match, both of them win a prize. The probability that they will not win prize in a single trial, is

(a) 1/25

(b) 24/25

(c) 2/25

(d) None of these 

Answer 1

The correct option is (b) 24/25.

Explanation:

The total number of ways in which numbers can be choosed =25 x 25=625 

The number of ways in which either players can choose same numbers = 25 

Probability that they win a prize = 25/625 = 1/25

Thus, the probability that they will not win a prize in a single trial = 1 - 1/25 = 24/25