15 Let PA 053 PB 028 and PA B 015 Solutiongiven PA 053

(15)

Solution

given P(A) = 0.53, P(B) = 0.28, and P(A and B) = 0.15.

a)

P(A|B) = P(A and B)/P(B) = 0.15/0.28 = 0.5357

b)

P(A U B) = P(A)+P(B) -P(A and B) = 0.53+0.28-0.15 = 0.66

c)

P((A U B)^c) = 1- P(A U B) = 1 -0.66 = 0.34