Let PA 045 PB 020 and PA B 040 a Calculate PA B Round yo

Let P(A) = 0.45, P(B) = 0.20, and P(A | B) = 0.40.

a. Calculate P(A B). (Round your answer to 3 decimal places.) P(A B)

b. Calculate P(A U B). (Round your answer to 3 decimal places.) P(A U B)

c. Calculate P(B | A). (Round your answer to 3 decimal places.) P(B | A)

Solution

a) P(A B) = P(B) P(A/B)

= 0.20*0.40

= 0.080

b) P(A U B)= P(A) + P(B) - P(A B)

= 0.45 +0.20 - 0.08

= 0.570

c) P(B/A) = P(A B) / P(A)

= 0.08 / 0.45

= 0.178