a) To find the probability of obtaining 2 even numbers, we need to look at the diagram and find the outcomes where both numbers are even.
From the diagram, we see that the outcomes with even numbers are (2,2), (2,4), (2,6), (4,2), (4,4), (4,6), (6,2), (6,4), and (6,6).
There are a total of 36 possible outcomes when rolling two dice, so the probability of obtaining 2 even numbers is 9/36 = 1/4.
b) To find the probability of obtaining 2 numbers whose product is 6, we need to look at the diagram and find the outcomes where the product of the two numbers is 6.
From the diagram, we see that the outcomes with a product of 6 are (1,6), (2,3), (3,2), and (6,1).
There are a total of 36 possible outcomes when rolling two dice, so the probability of obtaining 2 numbers whose product is 6 is 4/36 = 1/9.