The dice game called craps has the following rules:

Question

The dice game called craps has the following rules:
If the player rolling the dice gets a sum of 7 or 11, he or she wins. If the player rolls a sum of 2, 3, or 12, she or he loses. If the first sum rolled is a 4, 5, 6, 8, 9, or 10, the player continues to roll the dice. After the first roll, the player wins if she or he can obtain the first sum rolled before rolling a 7.
 
a. What is the probability of rolling a 2, 3, or 12 on the first roll? Enter answer as a fraction.
 
AP 1

 
b. Suppose a player rolls a 4 on the first roll. Which has the greater probability, rolling a 7 on the second roll or rolling another 4? Enter number.
 

Answer 1

a.

possibilities are

1, 1

1, 2

2, 1

6, 6 so 4/36

b.

for a 4 

1, 3

3, 1

2, 2

for a seven

1, 6

6, 1

2, 5

5, 2

3, 4

4, 3

Which one is more probable?