Two dice, each with faces 1,2,3,5,7,11, are rolled.

Question

Two dice, each with faces $1,2,3,5,7,11$, are rolled. Find the probability the sum is $\le8$.

Accepted Answer

Counting pairs with sum $\le8$: $(1,1..7)$: 5 pairs; $(2,\cdot)$: 4; $(3,\cdot)$: 4; $(5,\cdot)$: 3; $(7,1)$: 1. Total 17.

$$P = \frac{17}{36}$$

Solutions · 1