Multiple choice

The probability that in the toss of two dice we obtain an even sum or a sum less than 5 is

  1. $\displaystyle \frac{1}{2}$
  2. $\displaystyle \frac{1}{6}$
  3. $\displaystyle \frac{2}{3}$
  4. $\displaystyle \frac{5}{9}$
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D Correct answer
Explanation

Total outcomes for two dice are 36. Even sums are 2, 4, 6, 8, 10, 12 (18 outcomes). Sums less than 5 are 2, 3, 4. Combining these sets (avoiding double counting), we have sums 2, 3, 4, 6, 8, 10, 12. Counting these: 2(1), 3(2), 4(3), 6(5), 8(5), 10(3), 12(1) = 20 outcomes. 20/36 = 5/9.

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