Quantitative Reasoning

Probability

Medium

Two dice are thrown together. What is the probability that the sum of the numbers on the two faces is divisible by 4 or 6?

$\frac{5}{12}$

$\frac{7}{18}$

$\frac{5}{18}$

$\frac{11}{18}$

✅ Correct Option: 2

Sums divisible by 4 or 6 (from 2 to 12): 4, 6, 8, 12. Number of ways for each: sum 4 → 3, sum 6 → 5, sum 8 → 5, sum 12 → 1 (all sums distinct, no double counting).

Favourable outcomes $= 3+5+5+1 = 14$ out of 36. Probability $= \frac{14}{36} = \frac{7}{18}$ .

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Solution

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