Three events occur with probabilities 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, E2, and E3 are independent events. Calculate P (E1 and E2 and E3).