Hannah rolls two number cubes with the numbers 5,5,5,3,6,6on each. What i the probability that she rolled two numbers with an even sum?

The only way she can roll an odd sum is if she gets one odd number and one even number.

There are 4 odd numbers and 2 even numbers. The probability of rolling an odd number is 4/6 = 2/3. The probability of rolling an even number is 2/6 = 1/3.

The probability of rolling an odd sum is 2/3 * 1/3 * 2 = 4/9. (multiplied by 2 because it can be odd number then even OR even number then odd)

So, the probability of rolling an even sum is 1 - 4/9 = 5/9

There are 7 ways for it to be and odd sum. Can you figure out the even sums?