Question
If two fair dice are rolled, find the probability that the sum of the dice is 6, given that the sum is greater than 3.
Answers
John
You have to make table of the sample space
1,1 1,2 1,3 ... 1,6
2,1...............2,6
3,1................3,6
4,1
5,1
6,1
You should have 36 entries.
Given the sum is greater than 3 will eliminate 1,1 1,2 and 2,1
So you are working with 33 possibilities for the denominator
The numerator will be the number of times you find 6 as the sum in your table.
1,1 1,2 1,3 ... 1,6
2,1...............2,6
3,1................3,6
4,1
5,1
6,1
You should have 36 entries.
Given the sum is greater than 3 will eliminate 1,1 1,2 and 2,1
So you are working with 33 possibilities for the denominator
The numerator will be the number of times you find 6 as the sum in your table.
0.151