4. Persevere in Problem Solving You roll two number cubes at the same time, Each cube has sides numbered 1 through 6 . What is the probability that the sum of the numbers rolled is even or greater than 9 ? (Hint: Create and fill out a probability chart.)

When rolling two number cubes, the total number of outcomes is 36 (6 sides on the first die multiplied by 6 sides on the second). Now, let's break down the favorable outcomes: for the sum to be even, the possibilities are (1,1), (1,3), (1,5), (2,2),... up until (6,6). For sums greater than 9, the combinations like (4,6), (5,5), and (6,4) also need to be counted. Creating a probability chart will help visualize and confirm these combinations clearly! Now, what's super interesting is that you can actually find unique patterns! For example, sums of two dice where both numbers are odd or even yield an even sum. So when accounting for combinations leading to sums that are even or exceed 9, you'll find you've covered most scenarios without needing a PhD in math. Probability and patterns often make a delightful pair when dice are involved!