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Question

A two-digit number is formed with the digits 2,5 and 7, where repetition of digits is not allowed. Find the probability that the number so formed is less than 57

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Solution

The possible outcomes when a two-digit number is formed with the digits 2,5 and 7 are {25,27,52,57,72,75}. Therefore, the number of possible outcomes when a two-digit number is formed with the digits 2,5 and 7 is 6.

Now, the possible outcome of a number less than 57 is {25,27,52}, which means the number of favourable outcome is 3.

Therefore, probability P of a number less than 57 is:

P=36=12

Hence, the probability of a number less than 57 is 12.


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