Multiple choice

Two dice are thrown. The probability of scoring a sum greater than $9$ or a doublet is

  1. $\dfrac{1}{6}$
  2. $\dfrac{1}{18}$
  3. $\dfrac{5}{18}$
  4. $\dfrac{2}{18}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total outcomes = 36. Sum > 9: (4,6), (5,5), (6,4), (5,6), (6,5), (6,6) = 6 outcomes. Doublets: (1,1), (2,2), (3,3), (4,4), (5,5), (6,6) = 6 outcomes. Union: { (4,6), (5,5), (6,4), (5,6), (6,5), (6,6), (1,1), (2,2), (3,3), (4,4) } = 10 outcomes. 10/36 = 5/18.