GATE 2021 PH – Question 3

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 1 mark · Multiple choice

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:

1/36
1/12
1/8
1/4

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Show answer and explanation

Correct answer: (D) 1/4

Explanation

The even faces on each die are 2, 4 and 6, so the probability of an even result is $3/6=1/2$. The two rolls are independent. Therefore the probability that both results are even is $(1/2)(1/2)=1/4$, option D.

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