Question

What is the probability that the sum of the numbers rolled is even or greater than 9?

Answer 1

I am assuming that you are rolling two dice.

Probability of even: 18 "evens" out of 36 total outcomes = 18/36
→(1,1), (1,3), (1,5), (2,2), (2,4), (2,6), (3,1), (3,3), (3,5),(4,2), (4,4), (4,6), (5,1), (5,3), (5,5), (6,2), (6,4), (6,6)

Probability of greater than 9: 6 ">9s" out of 36 total outcomes = 6/36
→(4,6), (5,5), (5,6), (6,4), (6,5), (6,6)

Probability of both evens and >9s: 4 "both" out of 36 total outcomes = 4/36
→(4,6), (5,5), (6,4), (6,6)

evens OR >9s NOT both

`(18)/(36)` +
`(6)/(36)` -
`(4)/(36)` =
`(20)/(36)` =
`(5)/(9)`

Answer:
`(5)/(9)`