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 wins a prize.The probability that they will not win a prize in a single trial is A. 1/25 B. 24/25 C. 2/25 D. none of these Select the correct answer from above options

Answer 1

Correct Answer - B The number of ways in which either player can choose a number from 1 to 25 is 25, so the total number of ways of choosing numbers is 25×25=625 . There are 25 ways in which the numbers chosen by both players is the same. Therefore, the probability they will win a prize in a single trial is 25 625 = 1 25 . Hence, the probability that the will not win a prize in a single trial =1- 1 25 = 24 25 .