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 a prize in a single trial is

Solution :

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

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

\(\therefore\) Probability that they win a prize = \(25\over 625\) = \(1\over 25\)

Thus, the probability that they will not win a prize in a single trial = 1 – \(1\over 25\) = \(24\over 25\)

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