# Math Help - Exculusive/non exclusive?

1. ## Exculusive/non exclusive?

1. A six-sided die is rolled twice. Sketching a sample space to show all the outcomes might be useful. Calculate the following probabilities.
1. Both rolls result in a sum of 3 or both rolls result in doubles
2. Both rolls result in a sum of 4 or both rolls result in doubles.
3. Both rolls result in a sum that is odd or both rolls result in a sum that is even.
a. P(A) + P(B) = 4/72 + 12/72
b. 6/72 +12/72
c. 36/72 + 36/72

2. For #2, the outcome set is $\left\{ {(1,3),(3,1),(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)} \right\}$.
So that probability is $\dfrac{8}{36}$.