You have a shuffled deck of three cards: 2, 3, and 4. you draw one card. Let

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You have a shuffled deck of three cards: 2, 3, and 4. you draw one card. Let Ci denote the event that card i is picked. Let E denote the event that the card chosen is a even-numbered card.
(a) What is P[C2|E], the probability that the 2 is picked given that an even-numbered card is chosen?
(b) What is the conditional probability that an even-numbered card is picked given that the 2 is picked?
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