Two dice are thrown. What is the probability that difference of numbers on them is 2 or 3?
- A. \frac{7}{36}
- B. \frac{7}{18} ✓
- C. \frac{5}{18}
- D. \frac{11}{36}
Correct Answer: B. \frac{7}{18}
Explanation
Total outcomes = 36. For a difference of 2, the pairs are (1,3), (2,4), (3,5), (4,6) and their reverses, giving 8 outcomes. For a difference of 3, the pairs are (1,4), (2,5), (3,6) and their reverses, giving 6 outcomes. Total favorable outcomes = 8 + 6 = 14. The probability is \frac{14}{36} = \frac{7}{18}.
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