SOLUTION: If two dice are rolled at the same time what is the probability that the two upturned numbers will equal 7? What is the probability they will be less than seven?

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Question 291236: If two dice are rolled at the same time what is the probability that the two upturned numbers will equal 7? What is the probability they will be less than seven?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You mean the sum of the die will be seven.
Look at all of the possible outcomes and their sums.
There are 36 total.
1 1 2
1 2 3
1 3 4
1 4 5
1 5 6
1 6 7
2 1 3
2 2 4
2 3 5
2 4 6
2 5 7
2 6 8
3 1 4
3 2 5
3 3 6
3 4 7
3 5 8
3 6 9
4 1 5
4 2 6
4 3 7
4 4 8
4 5 9
4 6 10
5 1 6
5 2 7
5 3 8
5 4 9
5 5 10
5 6 11
6 1 7
6 2 8
6 3 9
6 4 10
6 5 11
6 6 12
If you add them up, 6 of the 36 sums add up to 7.
P(7)=6%2F36=1%2F6
Of the remaining 30 outcomes, 15 of the sums are less than 7, 15 are greater than 7.
P(<7)=15%2F36=5%2F12