Sum of Eight

List the pairs $(a,b)$ with $a+b=8$.

There are 36 equally likely outcomes for two dice.

1. 1. Enumerate outcomes

   Pairs summing to 8: (2,6),(3,5),(4,4),(5,3),(6,2) — 5 outcomes.

2. 2. Total outcomes

   There are $6\times 6=36$ equally likely outcomes.

3. 3. Probability

   Divide favorable by total.

   $$P=\frac{5}{36}$$

Answer: 5/36