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Back to 3.2 Problems on Conditional Probability

3.2 Exercise 4

Avg difficulty 2.5

From 100 cards numbered 00, 01, 02, ⋯\hdots, 99, one card is drawn. Suppose Ai is the event the sum of the two digits on a card is i, 0≤i≤18, i , 0 \leq i \leq 18, and Bj is the event the product of the two digits is j. Determine P(Ai|B0)P \left(\right. A_{i} \left|\right. B_{0} \left.\right) for each possible i.

Pfeiffer, Applied Probability, 3.2 Problems on Conditional Probability, exercise 4

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Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.