Suppose that A and B are events such that P(A) = 2/11 and P(A & B) = 7/52. Determine P(B | A).

In each of Exercises 4.130–4.133, we have presented either a contingency table or a joint probability distribution. In each case, determine both P(C1 | R2) and P(R2 | C1).

4.130 C1 C2 Total R1 3 7 10 R2 8 7 15 Total 11 14 25 4.131 C1 C2 Total R1 15 3 18 R2 20 12 32 Total 35 15 50 4.132 C1 C2 C3 P(Rj)

R1 0.24 0.08 0.12 0.44 R2 0.10 0.20 0.26 0.56 P(Ci) 0.34 0.28 0.38 1.00 4.133 C1 C2 P(Rj)

R1 0.15 0.15 0.30 R2 0.10 0.20 0.30 R3 0.35 0.05 0.40 P(Ci) 0.60 0.40 1.00 Applying the Concepts and Skills