The GATE Grind

GATE 2025 EC – Question 13

Engineering Mathematics · Probability and Statistics · 1 mark · Multiple choice

A pot contains two red balls and two blue balls. Two balls are drawn from this pot randomly without replacement. What is the probability that the two balls drawn have different colours?

  1. $\frac{2}{3}$
  2. $\frac{1}{3}$
  3. $\frac{1}{2}$
  4. 1

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Show answer and explanation

Correct answer: (A) $\frac{2}{3}$

Explanation

Total ways $\binom42=6$. Different colours: $2\times2=4$ ways. Probability $=4/6=2/3$.