1.

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 isA. `1//25`B. `24//25`C. `2//25`D. none of these

Answer» 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 `25xx25=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)`.


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