SOLUTION: An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face v
Question 608878: An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values 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 each of the following events:
Event A: The sum is greater than 9 .
Event B: The sum is not divisible by 3 and not divisible by 4.
Write your answers as exact fractions. Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Sum
Ways
# of Ways
2
1,1
1
3
1,2; 2,1
2
4
1,3; 2,2; 3,1
3
5
1,4; 2,3; 3,2; 4,1
4
6
1,5; 2,4; 3,3; 4,2; 5,1
5
7
1,6; 2,5; 3,4; 4,3; 5,2; 6,1
6
8
2,6; 3,5; 4,4; 5,3; 6,2
5
9
3,6; 4,5; 5,4; 6,3
4
10
4,6; 5,5; 6,4
3
11
5,6; 6,5
2
12
6,6
1
The probability of anything is the number of ways that it can happen that you would consider a success divided by the number of ways it can happen total -- successes and failures.
If you add up the number of total ways that you can roll a pair of dice you get 36.
John
My calculator said it, I believe it, that settles it