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A card is drawn from a well shuffled dec...

A card is drawn from a well shuffled deck of 52 cards. The outcome is noted, the card is replaced and the deck reshuffled. Another card is then drawn from the deck. What is the probability that both the cards are of the same suit? What is the probability that the first card is an ace and the second card is a red queen?

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To solve the problem, we will break it down into two parts as stated in the question. ### Part 1: Probability that both cards are of the same suit 1. **Understanding the Problem**: We need to find the probability that both cards drawn from a deck of 52 cards are of the same suit. There are 4 suits in a deck: hearts, diamonds, clubs, and spades, each containing 13 cards. 2. **Calculating Probability for One Suit**: - The probability of drawing a card of a specific suit (e.g., diamonds) on the first draw is \( \frac{13}{52} \). ...
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