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GATE 2021 CE (CE2) – Question 3

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · Multiple choice

Two fair six-faced dice numbered 1–6 are rolled independently. Find the probability of an even number on each.

  1. $1/36$
  2. $1/12$
  3. $1/8$
  4. $1/4$

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Correct answer: (D) $1/4$

Explanation

Each die has three even faces among six, so its even probability is 1/2. Independence allows multiplication: $P(\text{both even})=(1/2)(1/2)=\mathbf{1/4}$. There are nine favourable ordered pairs among 36 equally likely outcomes. **Answer: D.**