Question

If you roll two die, what is the probability that the sum of the die rolls is 6? What is the probability that the sum is 6 if one die rolls a 4?

Answer 1

2 die - `5/36`
conditional - `1/6`

Explanation:

Total possible ways is `6^2=36` ways.
`6=1+5=2+4=3+3=4+2=5+1`, 5 ways.
Therefore `5/36`.

The other die must roll a 2 for the sum to be 6.
Probability of rolling a 2 is `1/6`.