SOLUTION: In playing the game of craps getting a sum of 7 or 11 when two dice are rolled results in an immediate win. What is the probabilty of getting an immediate win?

Question 300311: In playing the game of craps getting a sum of 7 or 11 when two dice are rolled results in an immediate win. What is the probabilty of getting an immediate win?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Each die has 1-6 on the face.
List all of the possible rolls (36 total) and the sume of the die faces.
1 1=2
1 2=3
1 3=4
1 4=5
.
.
.
6 1=7
6 2=8
6 3=9
6 4=10
6 5=11
6 6=12
EXCEL works great for this task.
Now count the number of 7 sums and the number of 11 sums.
There are six 7 sums (1-6,2-5,3-4,4-3,5-2,6-1) and two 11 sums (5-6,6-5).
That's a total of 8 outcomes out of a possible 36.
P(immediate win)=8/36=2/9
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