Question

Two 6-sided dice are rolled. What is the probability that the sum of the two numbers will be greater than 8?

Answer 1

`p(x+y>8)=5/18`

Explanation:

Let us have the possibilitites

`p(3+6)=1/6*1/6=1/36`
`p(4+5)=1/6*1/6=1/36`
`p(4+6)=1/6*1/6=1/36`
`p(5+4)=1/6*1/6=1/36`
`p(5+5)=1/6*1/6=1/36`
`p(5+6)=1/6*1/6=1/36`
`p(6+3)=1/6*1/6=1/36`
`p(6+4)=1/6*1/6=1/36`
`p(6+5)=1/6*1/6=1/36`
`p(6+6)=1/6*1/6=1/36`

Total

`p(x+y>8)=10*(1/36)=5/18`

God bless....I hope the explanation is useful.