What is the probability that two dice sum to 7?

Problem: What is the probability that two fair six-sided dice sum to $7$?

Steps

1. List the total number of possible outcomes
   $$6 \times 6 = 36$$
2. List the favorable outcomes that sum to 7
   $$(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)$$
3. Count the number of favorable outcomes
   $$6$$
4. Calculate the probability
   $$\frac{6}{36} = \frac{1}{6}$$