# 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?

Nov 1, 2015

2 die - $\frac{5}{36}$
conditional - $\frac{1}{6}$

#### Explanation:

Total possible ways is ${6}^{2} = 36$ ways.
$6 = 1 + 5 = 2 + 4 = 3 + 3 = 4 + 2 = 5 + 1$, 5 ways.
Therefore $\frac{5}{36}$.

The other die must roll a 2 for the sum to be 6.
Probability of rolling a 2 is $\frac{1}{6}$.