A number n is chosen at random from S= 1,2,3, , 50 . Let A= n S: n+ 50 n 27 , B= n S: n is a prime) and C= n S: n is a square). Then, correct order of their probabilities is

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A number n is chosen at random from S= 1,2,3, , 50 . Let A= n S: n+ 50 n >27 , B= n S: n is a prime) and C= n S: n is a square). Then, correct order of their probabilities is

Quantrex Academy · Accepted Answer

Correct answer: B. P(A)>P(B)>P(C)

Given that S= 1,2,3 , 50 aligned & A= n S: n+ 50 n >27 & = n S: n < 2 or n>25 & = 1,26,27, , 50 & n(A)=26 & B= n S: n is a prime & = 2,3,5,7,11,13,17,19,23,29 , & 31,37,41,43,47 & n(B)=15 & C= n S: n is a square & = 1,4,9,16,25,36,49 & n(C)=7 & P(A)= n(A) n(S) = 26 50 & P(B)= n(B) n(S) = 15 50 & P(C)= n(C) n(S) = 7 50 & P(A)>P(B)>P(C) & aligned

A number n is chosen at random from S= 1,2,3, , 50 . Let A= n S: n+ 50 n >27 , B= n S: n is a prime) and C= n S: n is a square). Then, correct order of their probabilities is

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