A sample space S consists of five simple events with these probabilities:
P(E1) = P(E2) = .15P(E3) = .4
P(E4) = 2P(E5)
a. Find the probabilities for simple events E4 and E5.
b. Find the probabilities for these two events:
A = {E1, E3, E4}
B = {E2, E3}
c. List the simple events that are either in event A or event B or both.
d. List the simple events that are in both event A and event B.