One way to win in a game with two dice is to roll a sum of six before getting a sum of seven. (Anything else that happens ” sums of $2, 3, 4, 5, 8, 9, 10, 11, \text{ or } 12$- are ignored.)

1. How many ways are there to get a sum of six?

   Answer (a):

   $5$

2. How many ways are there to get seven?

   Answer (b):

   $6$

3. How many possible outcomes are important in this problem?

   Hint (c):

   Do the other sums have any effect on the probability of winning the game?

4. What is the probability of getting a six before a seven?

   Hint (d):

   What fraction of the important outcomes are sums of six?