GATE 2021 BM – Question 3
Two identical fair six-faced dice, numbered 1 to 6, are rolled simultaneously. What is the probability that each die shows an even number?
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Correct answer: (D) 1/4
Explanation
Each die has three even faces among six, so its probability of an even outcome is one half. Independent rolls both being even have probability (1/2)×(1/2)=1/4. Alternatively nine of thirty-six ordered outcomes qualify. Thus D.
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