Question

You are rolling two dice at the same time What is the probability of rolling a sum of 6 or 7?

Answer 1

The probability `=11/36`

Explanation:

Total number of outcomes `=36`

Event `E` is when the sum of the two dice `=6`

`E={(1,5),(2,4),(3,3),(4,2),(5,1)}`

Total number of outcomes of getting `6` is `=5`

Probability of event `E`

`P(E)=5/36`

Event `F` is when the sum of the two dice `=7`

`F={(1,6),(2,5),(3,4),(4,3),(5,2),(6,1)}`

Total number of outcomes of getting `7` is `=6`

Probability of event `F`

`P(F)=6/36`

Probability of getting a `6` or a `7`

`=5/36+6/36=11/36`