Since P(A | B) ≠ P(A), the occurrence of event B the probability that event A will occur. This implies that A and B are not independent events.

What is the probability of the following.(a) An event A that is certain to occur?(b) An event B that is impossible?

Show that the probability that exactly one of the events A and B occurs isP(A) + P(B) − 2P(AB).

A and B are independent events. P(A) = 0.40 and P(B) = 0.30. What is P(A and B)?A.0.70B.0.12C.0.012D.0SUBMITarrow_backPREVIOUS

Given P(A) = 0.6 and P(B) = 0.4, do the following.(a) If A and B are independent events, compute P(A and B). (b) If P(A | B) = 0.1, compute P(A and B).

Suppose that A and B are independent events such that =PA0.20 and =PB0.30.Find P∩AB and P∪AB. (If necessary, consult a list of formulas.)(a) =P∩AB(b) =P∪AB