題組內容

Let P(Ai) be the probability that the car is behind door no, i. Thus, the probability that the car is behind door no. I is P(A1). Let P(B) be the probability that the contestant picks door no. j, and let P(Ck) be the probability that the host picks door no. k. Note that P(C3lA2, B1) is the probability that the host opens door no. 3 after the contestant picked door no. 1, and the car is behind door no. 2.

(x) Express the probability that the ca ar is behind door no. 2 given that the contestant picked door no. I and the host opened door no. 3 using the form P(X|Y,Z), but replacing with Ai, Bj, and Ck, accordingly. (3 pt)

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