GATE CE 2017 Set 2 — Question 60
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General Aptitude → Quantitative Aptitude → Elementary Statistics & Probability
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Question
Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is
Correct answer
(B) 2/9
Solution
Total outcomes when two dice are thrown = .Favorable outcomes where the product is a perfect square:
Probability = .
- Product = 1: (1, 1)
- Product = 4: (1, 4), (4, 1), (2, 2)
- Product = 9: (3, 3)
- Product = 16: (4, 4)
- Product = 25: (5, 5)
- Product = 36: (6, 6)
Probability = .
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