Question: Mary selects three cards at random from a regular 52-card pack without replacement. Let Ai be the event that the ith card drawn is a

Mary selects three cards at random from a regular 52-card pack without replacement.

Let Ai be the event that the ith card drawn is a Queen for i = 1, 2, 3. Calculate the probabilities

(i) P(A2|A1);

(ii) P(A3|A1A2);

(iii) P(A2A3|A1).

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