Problem

52 cards in a deck. 4 kings and 4 aces in a deck. Draw a cardy pot it back, draw another. Find \( P \) (drawing a King and then drawing an Ace)

Answer

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Answer

\( P(King \cap Ace) = P(King) \times P(Ace \mid King) = \frac{4}{52} \times \frac{4}{51} \)

Steps

Step 1 ：\( P(King) = \frac{4}{52} \)

Step 2 ：\( P(Ace \mid King) = \frac{4}{51} \)

Step 3 ：\( P(King \cap Ace) = P(King) \times P(Ace \mid King) = \frac{4}{52} \times \frac{4}{51} \)

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