Calculate the following probabilities (to 2 decimals) using the table of joint probabilities.

Question

A1 A2
B1 .4 .3
B2 .2 .1
a. P(A1|B2) =

b. P(B2|A1) =

c. Did you expect the answers to Parts (a) and (b) to be reciprocals? That is, did you expect that P(A1|B2) = 1 / P(B2|A1)?

Why is this impossible (unless both probabilities are 1)?

Answer 1

It would help if you proofread your questions before you posted them.

What is the value if A1?