A computer consulting firm presently has bids out on three projects. Let Ai = {awarded project i},

Question:

A computer consulting firm presently has bids out on three projects. Let Ai = {awarded project i}, for i = 1, 2, 3, and suppose that P(A1) = .22, P(A2) = .25, P(A3) = .28, P(A1 ∩ A2) = .11, P(A1 ∩ A3) = .05, P(A2 ∩ A3) = .07, P(A1 ∩ A2 ∩ A3) = .01. Express in words each of the following events, and compute the probability of each event:
a. A1 ⋃ A2
b. A1ʹ ∩ A2ʹ [(A1 ⋃ A2)ʹ = A1ʹ ∩ A2ʹ]
c. A1 ⋃ A2 ⋃ A3
d. A1ʹ ∩ A2ʹ ∩ A3ʹ
e. A1ʹ ∩ A2ʹ ∩ A3
f. (A1ʹ ∩ A2ʹ) ⋃ A3