Peter R. answered 03/15/22
Experienced Instructor in Prealgebra, Algebra I and II, SAT/ACT Math.
On a single roll of two dice, there are 6 possible outcomes: 6 for die #1 and 6 for die #2. 6 x 6 = 36.outcomes for the total.
You could make a two-way table with the results of die #1 across the top (columns 1 -> 6) and die #2 (1 -> 6) down the left side (the rows) . Where they intersect is the sum of the two dice.
I tried to set it up here, but it gets garbled when I save it.
Count all of the outcome sums that are >5, divide by the 36 to get the probability that the sum of the two dice is >5. Do the same for the no. of outcome sums that are odd to calculate that probability.