A and B are events with PA 034 and PB055 PA n B 025 Find th

A and B are events with P(A) =0.34 and P(B)=0.55. P(A n B) = 0.25

Find these probabilities:

P(A n B)

P(B | A)

P(A U B )

P(A n B^c)

P(A | B )

P(A U B^c)

1) P(A n B) = 0.25

2) P(B | A) = P(A n B) / P(A) = 0.25/0.34 = 0.735

3) P(A U B ) = P(A) + P(B) - P(A n B) = 0.34+0.55-0.25 = 0.64

4) P(A n B^c) = P(A) - P(A n B) = 0.34-0.25 = 0.09

5) P(A | B ) = P(A n B) / P(B) = 0.25 /0.55 = 0.454

6) P(A U B^c) = 1 - P(B) = 1-0.55 = 0.45