Probability of Getting a Sum > 6
Probability
Level
2
Two dice with faces numbered between 1 and 6 are rolled together. What is the probability of getting a sum greater than 6
20/36
4/9
7/12
1/2
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1 solution
Total number of outcomes = 36
Out of this possible occurrences where the sum on both the dice can be greater than 6 is as follows (D1,D2 refer to Dice 1 and Dice 2 respectively)
D1 D2
1 6
2 5
2 6
3 4
3 5
3 6
4 3
4 4
4 5
4 6
5 2
5 3
5 4
5 5
5 6
6 1
6 2
6 3
6 4
6 5
6 6
So there are 21 possibilities which can yield a sum > 6. Hence probability is No of possible occurances/Total outcomes = 21/36 = 7/12.