Redo exercise 9 assuming that P(A) = 0.7, P(B) = 0.3, and P(A n B) = 0.1.

Reference:

Let A and B be events in a sample space S, and let C = S − (A ∪ B). Suppose P(A) = 0.4, P(B) = 0.5, and P(A ∩ B) = 0.2. Find each of the following:

a. P ( A ∪ B)

b. P(C)

c. P(Ac)

d. P ( A c ∩ Bc)

e. P(Ac ∪ Bc)

f. P(Bc ∩ C)