SOLUTION: IF 2 fair dice (6 sides) are rolled, what is the probability of the sum being at least 10?
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Question 534112: IF 2 fair dice (6 sides) are rolled, what is the probability of the sum being at least 10?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
With 2 dice there are 36 possible outcomes: 6*6 =36.
The following table shows the possible sums of 2 dice.
.
| Die 1 |
|---|
| Die 2 |
|---|
| | 1 | 2 | 3 | 4 | 5 | 6 |
|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|
| 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|
| 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|
| 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|
| 5 | 6 | 7 | 8 | 9 | 10 | 11 |
|---|
| 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|---|
The question is what is the probability the sum is at least 10.
.
1 of these 36 outcomes = 12
2 of these 36 outcomes = 11
3 of these 36 outcomes = 10
.
P(10 or more) = 6/36 = 1/6
.
Done
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