2. In a 52 card deck, the first card randomly drawn is an ace. If the ace is not put back into the deck, what is the probability that the second card drawn is an Queen ing Ac Jack Queen Hin0 ace? 10 Jack Que King A. 3/52 1 Pt B. 4/52 D A в Que С. 351 D. 4/51 14
2. In a 52 card deck, the first card randomly drawn is an ace. If the ace is not put back into the deck, what is the probability that the second card drawn is an Queen ing Ac Jack Queen Hin0 ace? 10 Jack Que King A. 3/52 1 Pt B. 4/52 D A в Que С. 351 D. 4/51 14
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![## Probability Question on Drawing Cards
**Question 2:**
In a 52-card deck, the first card randomly drawn is an ace. If the ace is not put back into the deck, what is the probability that the second card drawn is an ace?
### Choices:
- **A. 3/52**
- **B. 4/52**
- **C. 3/51**
- **D. 4/51**
### Explanation
The first card drawn is an ace, and it is not put back into the deck. This leaves the deck with 51 cards remaining, out of which 3 cards are aces. To find the probability that the second card drawn is an ace, divide the number of remaining aces by the total number of remaining cards.
\[ \text{Probability} = \frac{\text{Number of Remaining Aces}}{\text{Total Number of Remaining Cards}} = \frac{3}{51} \]
### Correct Answer:
**C. 3/51**
### Diagram:
The accompanying diagram depicts the standard 52-card deck. The suits are as follows:
- **Hearts** (♡)
- **Diamonds** (♢)
- **Clubs** (♧)
- **Spades** (♤)
Each suit contains:
- An Ace
- Numbered cards from 2 to 10
- A Jack
- A Queen
- A King
The diagram visually represents the 52 cards in a deck, categorizing them by suit and rank.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b0e8005-cc55-4643-876a-3704936e82ae%2Fe9c4d39b-847d-4c83-aae6-57efcc6ba2fd%2F7wwbqwa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Probability Question on Drawing Cards
**Question 2:**
In a 52-card deck, the first card randomly drawn is an ace. If the ace is not put back into the deck, what is the probability that the second card drawn is an ace?
### Choices:
- **A. 3/52**
- **B. 4/52**
- **C. 3/51**
- **D. 4/51**
### Explanation
The first card drawn is an ace, and it is not put back into the deck. This leaves the deck with 51 cards remaining, out of which 3 cards are aces. To find the probability that the second card drawn is an ace, divide the number of remaining aces by the total number of remaining cards.
\[ \text{Probability} = \frac{\text{Number of Remaining Aces}}{\text{Total Number of Remaining Cards}} = \frac{3}{51} \]
### Correct Answer:
**C. 3/51**
### Diagram:
The accompanying diagram depicts the standard 52-card deck. The suits are as follows:
- **Hearts** (♡)
- **Diamonds** (♢)
- **Clubs** (♧)
- **Spades** (♤)
Each suit contains:
- An Ace
- Numbered cards from 2 to 10
- A Jack
- A Queen
- A King
The diagram visually represents the 52 cards in a deck, categorizing them by suit and rank.
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