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CAT 2025 Slot 2 · Quant · Probability · medium

Find the probability that the sum of the numbers shown is a prime number.

Single correct option

Two fair dice are thrown together. Find the probability that the sum of the numbers shown is a prime number.
  1. A. 1/3
  2. B. 5/12
  3. C. 1/2
  4. D. 7/12
Show answer and solution

Answer: (B) 5/12

Total outcomes = 36. Sums that are prime: 2, 3, 5, 7, 11. Counting outcomes for each: sum=2 (1), sum=3 (2), sum=5 (4), sum=7 (6), sum=11 (2), total = 1+2+4+6+2 = 15. Probability = 15/36 = 5/12.
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Original question written in the CAT 2025 Slot 2 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake