. A computer consulting firm presently has bids out on three projects. Let Ai ¼ {awarded project i}, for i ¼ 1, 2, 3, and suppose that P(A1) ¼ .22, P(A2) ¼ .25, P(A3) ¼ .28, P(A1 \ A2) ¼ .11, P(A1 \...

. A computer consulting firm presently has bids out on three projects. Let Ai ¼ {awarded project i},

for i ¼ 1, 2, 3, and suppose that P(A1) ¼ .22, P(A2) ¼ .25, P(A3) ¼ .28, P(A1 \ A2) ¼ .11,

P(A1 \ A3) ¼ .05, P(A2 \ A3) ¼ .07, P(A1 \ A2 \ A3) ¼ .01. Express in words each of the

following events, and compute the probability of each event:

(a) A1 [ A2

(b) A10 \ A20 [Hint: Use De Morgan’s Law.]

(c) A1 [ A2 [ A3

(d) A10 \ A20 \ A30

(e) A10 \ A20 \ A3

(f) (A10 \ A20 ) [ A3