A pair of fair dice is rolled. Let E denote the event that the number falling uppermost on the…


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?