GATE | GATE-CS-2015 (Set 1) | Question 3

Given Set A = {2, 3, 4, 5} and Set B = {11, 12, 13, 14, 15}, two numbers are randomly selected, one from each set. What is the probability that the sum of the two numbers equals 16?
(A) 0.20
(B) 0.25
(C) 0.30
(D) 0.33


Answer: (A)

Explanation: There are 20 possible pairs from {2, 3, 4, 5} and {11, 12, 13, 14, 15} i.e 5*4=20

Out of which following pairs have sum 16.

(2, 14)
(3, 13)
(4, 12)
(5, 11) 

Probability = Favorable Outcomes/Total Outcomes
Probability = 4/20 = 0.20

Therefore option A is correct


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