Two dice are thrown together. The probability that they show different numbers is :
Generated by claude-sonnet-4-6 · 2026-06-15 10:29 · grounding rag
Model Answer
Option B: $\dfrac{5}{6}$
Total outcomes = 36. Same-number outcomes: (1,1),(2,2),(3,3),(4,4),(5,5),(6,6) = 6. P(different) = $1 - \dfrac{6}{36} = \dfrac{30}{36} = \dfrac{5}{6}$.
Source: Chapter 14, Section 14.1
Explanation
- Total outcomes when two dice are thrown = 6 × 6 = 36 (as shown in Example 13's table).
- Use the complement: P(different numbers) = 1 − P(same numbers). Same numbers = 6 outcomes.
- Examiners expect you to show total outcomes, favourable outcomes, and the final simplified fraction.