SOLUTION: An ordinary fair die is a cube with numbers 1 through 6. The die is rolled twice in succession, and the face value of the two rolls are added together. This sum is recorded as the

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Question 451066: An ordinary fair die is a cube with numbers 1 through 6. The die is rolled twice in succession, and the face value of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of the following events:
Event A: The sum is greater than 7.
Event B: The sum is divisible by 5 or 6 (or both).
(Please write answers as exact fractions.) Thank you!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An ordinary fair die is a cube with numbers 1 through 6. The die is rolled twice in succession, and the face value of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of the following events:
Event A: The sum is greater than 7.
sum = 8: 2/6;3/5;4/4;5/3;6/2
sum = 9: 3/6;4/5;5/4;6/3
sum =10: 4/6;5/5;6/4
sum =11: 5/6;6/6
sum =12; 6/6
Total number of these is 5+4+3+2+1 = 15
P(sum greater than 7) = 15/36
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Event B: The sum is divisible by 5 or 6 (or both).
I'll leave this to you.
Cheers,
Stan H.
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