Assume a sample space is given as S E1 E2 E3 E4 E5 and the

Assume a sample space is given as S = {E1, E2, E3, E4, E5} and the following probabilities are assigned to the sample points. P(E1) = 0.15 P(E2) = 0.10 P(E3) = 0.30 P(E4) = 0.30 P(E5) = 0.15 Total = 1.00 Let A = {E1, E3, E5} B = {E2, E3} C = {E1, E2, E4} Find P(BC)

Solution

P(BC)

=P({E2, E3} {E1, E2, E4})

=P(E2)

=0.10