Two number cubes are rolled. each number cube has sides numbered 1 through 6. what is the probability that the outcome of the roll is an odd sum or a sum that is a multiple of 5?

Probablity=desired outcomes/total possible outcomes

odd sums, hmm

odd=even+odd

that could be
1,2
1,4
1,6
3,2
3,4
3,6
6,2
5,4
5,6
9 outcomes, but double it because we can have 2 and 3 or 3 and 2 and it would still be odd
18 outcomes

or a multiple of 5
that is 5 or 10
1,4
2,3
5,5
3 outcomes, but double it to get 6
wait, we want odd OR multipule of 5, so we minus 6 from the total probability because those are the outcomes that are both
18-6=12

12 desired outcomes

now how many total possible outcomes?
6 possible outcomes for first die
6 for the 2nd one
there are 6*6 or 36 possible outcomes

so probablity=12/36=1/3

the probablity is 1/3