An experiment results in one of five sample points with the following probabilities: P(E,) = .22, P(EJ

= 31, P(E,) = .15, P(EJ = .22, and P(E,) = .1.

The following events have been defined:

A: {El, EJ B: (E,, E3,EJ C: {El, &I Find each of the following probabilities:

a. P(A)

b. P(B)

c. P(AnB)

d. P(A[B)

e. P(BnC)

f. P(CIB)

g. Consider each pair of events: A and B, A and C, and B and C. Are any of the pairs of events independent? Why?