Probability Practice Questions for Competitive Exams 24 January 2022

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?

Answer

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.

Such type of question is asked in various government exams like SSC CGL, SSC MTS, SSC CPO, SSC CHSL, RRB JE, RRB NTPC, RRB GROUP D, RRB OFFICER SCALE-I, IBPS PO, IBPS SO, RRB Office Assistant, IBPS Clerk, RBI Assistant, IBPS RRB OFFICER SCALE 2&3, etc. Try and attempt free mock tests at PendulumEdu.

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