Question

http://prntscr.com/b5bpmk

Answer 1

The sample space has 36 possible combinations of numbers. These can be set out in column form as follows:
6,6 5,6 4,6 3,6 2,6 1,6
6,5 5,5 4,5 3,5 2,5 1,5
6,4 5,4 4,4 3,4 2,4 1,4
6,3 5,3 4,3 3,3 2,3 1,3
6,2 5,2 4,2 3,2 2,2 1,2
6,1 5,1 4,1 3,1 2,1 1,1
You now need to find how many sums of five and how many sums of 9 are in the table. The required probability is then found from:
\[\large \frac {sums\ of\ 5\ +\ sums\ of\ 9}{36}\]