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.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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.
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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