4. (10 Points) Consider the experiment of rolling two dice. The following table lists all possible outcomes as ordered pairs (number on first dice, number on second dice):
(1,1) (2,1) (3,1) (4,1) (5,1) (6,1)
(1,2) (2,2) (3,2) (4,2) (5,2) (6,2)
(1,3) (2,3) (3,3) (4,3) (5,3) (6,3)
(1,4) (2,4) (3,4) (4,4) (5,4) (6,4)
(1,5) (2,5) (3,5) (4,5) (5,5) (6,5)
(1,6) (2,6) (3,6) (4,6) (5,6) (6,6)
a. (5 Points) Find the probability that the sum of the numbers on the two dice is less than or equal to 5. P(Sum ? 5) = __________
b. (5 Points) Find the probability that the sum of the numbers on the two dice is even. P(Sum is even) = __________