Question of The Day24-01-2022

If two different integers out of first 10 positive integers are to be chosen, what is the probability that one of the integer is square of the other?

Correct Answer : a ) 2/45

Explanation :

The first ten positive integers are 1, 2, 3, ..... 10

Now to select two integers out of these with one as square of other, there are two possible situations: (2, 4) and (3, 9)

So, the total favourable outcomes will be = 2

Total possible ways of selecting two integers out of 10 is 10C2 = 10!/(8! x 2!) = 90/2 = 45

Probability of getting one of the integer as square of the other = 2/45

Hence, (A) is the correct answer.

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