For the events A, B, and C of a sample space, we are given P(ABC) =

a, P(A′BC) = b1, P(AB′C) = b2, P(ABC′) = b3, P(AB′C′) = c1, P(A′BC′) = c2, P(A′B′C) = c3.

Calculate the probabilities of the events A, B, and C in terms of

a, bi, and ci.

Similarly find for the events A − B, B − C, (A − B) − C, A − (B − C), (A ∪ BC)′ − AC.