An event occurs with probability:

P(E1) = 0.35

P(E2) = 0.15

P(E3) = 0.40

If the event B occurs, the probability becomes P(E1|B) =0.25

P(B) = 0.30

a.Calculate P(E1 and B)

b.Compute P(E1 or B)

c.Assume that E1, E2and E3 are independent events. Calculate P(E1 and E2 andE3)