GATE CE 2021 Set 2 — Question 3
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General Aptitude → Quantitative Aptitude → Elementary Statistics & Probability
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Question
Two identical cube shaped dice each with faces numbered 1 to 6 are rolled simultaneously. The probability that an even number is rolled out on each dice is:
Correct answer
(D) (1)/(4)
Solution
The probability of rolling an even number (2, 4, or 6) on a single six-sided die is . Since the two dice are rolled simultaneously and are independent, the probability that both dice show an even number is the product of their individual probabilities: .
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