# According to the following table of joint probabilities,

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(a) Determine P(A1|B1).

(b) Determine P(A2|B1).

(c) Do the answers to parts (a) and (b) sum to 1? Is this a coincidence?

(d) Determine P(A1|B2)

(e) Determine P(B2|A1)

(f) Did you expect the answers to parts (a) and (b) to be reciprocals? Why is this impossible (unless all probabilities are 1)?

(g) Are events A and B independent?

#### Top Answer

a) p ( A 1 / B 1 ) = p ( B 1 ) p ( A 1 B 1 ) = 0 . 7 0 . 4 = 7 4 ... View the full answer