Lesson eLearning

Two dice are thrown simultaneously. What is the probability that the sum of the numbers on the two dice is 7?

medium MCQ 1 mark Class 10 · Mathematics · Probability
  1. 1/6
  2. 5/36
  3. 1/12
  4. 1/9
Answer
1/6

The correct answer is 1/6 — Probability = favourable/total = 6/36 = 1/6 because each pair is equally likely.

Step-by-step solution

  1. List all ordered pairs (die1, die2) that give sum 7: (1,6),(2,5),(3,4),(4,3),(5,2),(6,1) – 6 favourable outcomes.
  2. Total possible ordered pairs when two dice are thrown = 6×6 = 36.
  3. Probability = favourable/total = 6/36 = 1/6 because each pair is equally likely.
Common mistake: Counting only one pair such as (1,6) instead of all six pairs

Concept tested: Probability of compound event (sum of dice)

Published · How this solution was prepared and checked

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