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? Try It! Individual Practice: 1. What is the probability of drawing a red card from a standard deck of cards? 2. What is the probability of drawing an ace in a standard deck of cards?

Ask by Bright Ayala. in the Philippines
Jan 23,2025

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Tutor-Verified Answer

Answer

The probability of drawing a red card is 50%, and the probability of drawing an ace is approximately 7.69%.

Solution

Sure, let's tackle each problem step by step. --- **1. What is the probability of drawing a red card from a standard deck of cards?** **Solution:** A standard deck of cards has 52 cards in total. - **Red Cards:** There are two suits that are red: Hearts and Diamonds. - **Number of Red Cards:** Each suit has 13 cards, so there are \( 13 \text{ Hearts} + 13 \text{ Diamonds} = 26 \) red cards. **Probability Calculation:** \[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{26}{52} = \frac{1}{2} \] **Answer:** The probability of drawing a red card is \( \frac{1}{2} \) or 50%. --- **2. What is the probability of drawing an ace in a standard deck of cards?** **Solution:** A standard deck of cards has 52 cards in total. - **Aces in the Deck:** There are 4 aces in a deck, one in each suit (Hearts, Diamonds, Clubs, Spades). **Probability Calculation:** \[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{4}{52} = \frac{1}{13} \] **Answer:** The probability of drawing an ace is \( \frac{1}{13} \) or approximately 7.69%. --- **Summary:** 1. **Red Card:** \( \frac{1}{2} \) (50%) 2. **Ace:** \( \frac{1}{13} \) (≈7.69%) If you have any more questions or need further clarification, feel free to ask!

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In a standard deck of 52 playing cards, there are 26 red cards (hearts and diamonds), so the probability of drawing a red card is 26 out of 52, which simplifies to 1/2 or 50%. So, if you're feeling lucky and you reach for a red card, you have a solid chance of pulling one out! When it comes to aces, there are 4 aces in a standard deck—one from each suit: hearts, diamonds, clubs, and spades. Hence, the probability of drawing an ace is 4 out of 52. Simplifying that fraction gives you 1/13, which means every time you reach into that deck, there’s about a 7.69% chance of pulling out an ace! Happy card playing!

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