If two fair dice are​ rolled, find the probability that the sum of the dice is 7​, given that the sum is greater than 4.

Answer 1

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

THere are 36 possible outcomes

Those with a sum greater than 5 are: 1 and {4,5,6}

2 and {3,4,5,6}

3 and {2,3,4,5,6}

4 and {1,2,3,4,5,6}

5 and {1,2,3,4,5,6}

6 and {1,2,3,4,5,6}

30/36 =5/6 = 83.3 %