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Two fair six-sided dice are rolled. What is the probability that the sum of the numbers shown is 9?

GRE · 2022 · quant slot 2
Question:
Two fair six-sided dice are rolled. What is the probability that the sum of the numbers shown is 9?

Options

(A) 1/12
(B) 1/9
(C) 1/8
(D) 1/6
(E) 2/9
Answer: (B) 1/9

Explanation:
Total outcomes = 36. Favorable outcomes for sum of 9: (3,6), (4,5), (5,4), (6,3) = 4 outcomes. Probability = 4/36 = 1/9.

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