GATE | GATE CS 2012 | Question 31

Suppose a fair six-sided die is rolled once. If the value on the die is 1, 2, or 3, the die is rolled a second time. What is the probability that the sum total of values that turn up is at least 6?
(A) 10/21
(B) 5/12
(C) 2/3
(D) 1/6


Answer: (B)

Explanation: The following are different possibilities
(1,5) (1,6) (2,4) (2,5) (2,6) (3,3) (3,4) (3,5) (3,6)

Plus 1/6 probability that first time 6 is rolled

So total probability is 9/36 + 1/6 = 15/36 = 5/12.

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