Question: A pair of fair dice is rolled. Let E denote the event that the number falling uppermost on the first die is 5, and let F denote the event that the sum of the numbers falling uppermost is 10.
a. Compute P(F).
b. Compute P(E ∩ F).
c. Compute P(F | E).
d. Compute P(E).
e. Are E and F independent events?