Determine P(A1 I B1) and Determine P(A2 I B1)

Question:

       A1     A2

B1 .4      .3

B2 .2      .1

Determine P(A1 I B1)

Determine P(A2 I B1)

Did your answers to parts (a) and (b) sum to 1? Is this a coincidence? Explain

Solution: a. P(A1 I B1) = P( A1 n B1)/ P(B1)

P( A1 n B1) = 0.4

P(B1) = 0.4+0.3 = .7

P(A1 I B1) = 0.4/0.7 = 0.5714

b. P(A2 I B1) = P( A1 n B1)/ P(B1)

P( A2 n B1) = 0.3

P(B1) = 0.4+0.3 = .7

P(A1 I B1) = 0.3/0.7 = 0.4285

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