a. The probability that the card selected is a 2 is 1/13. (Type an integer or a simplified fraction.) b. The probability that the card selected is a black card is (Type an integer or a simplified fraction.)
a. The probability that the card selected is a 2 is 1/13. (Type an integer or a simplified fraction.) b. The probability that the card selected is a black card is (Type an integer or a simplified fraction.)
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 9ECP: In three-card poker, a hand consists of three cards dealt from a deck of 52. How many different...
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Hello, I need help with part B of this problem.
![**Card Probability Explanation**
In a standard 52-card deck, there are four suits: clubs, diamonds, hearts, and spades. Each suit contains the following cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King. The Jack, Queen, and King are face cards because they have a drawing of a face. Diamonds and hearts are red, while clubs and spades are black.
When drawing 1 card randomly, here are the probabilities:
1. **Probability of Drawing a Specific Card:**
- **a. A 2?**
- The probability is \( \frac{1}{13} \).
- **b. A black card?**
- **[To be filled by user] (Type an integer or a simplified fraction.)**
2. **Probability of Drawing a Card of a Particular Suit:**
- **c. A spade?**
- **d. A non-face card?**
This probability exercise helps in understanding the likelihood of drawing certain types of cards from a full deck.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff58a251e-cc4c-4c83-af50-b83897bc9eee%2Ff0687582-1d59-4f23-b2f3-e55b79b2cca2%2Firmgagj_processed.png&w=3840&q=75)
Transcribed Image Text:**Card Probability Explanation**
In a standard 52-card deck, there are four suits: clubs, diamonds, hearts, and spades. Each suit contains the following cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King. The Jack, Queen, and King are face cards because they have a drawing of a face. Diamonds and hearts are red, while clubs and spades are black.
When drawing 1 card randomly, here are the probabilities:
1. **Probability of Drawing a Specific Card:**
- **a. A 2?**
- The probability is \( \frac{1}{13} \).
- **b. A black card?**
- **[To be filled by user] (Type an integer or a simplified fraction.)**
2. **Probability of Drawing a Card of a Particular Suit:**
- **c. A spade?**
- **d. A non-face card?**
This probability exercise helps in understanding the likelihood of drawing certain types of cards from a full deck.
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