Here is a table showing all 52 cards in a standard deck. Face cards Jack Queen King Color Suit Ace Two Three Four Five Six Seven Eight Nine Ten Red Hearts 10 Red Diamonds A Black Spades Black Clubs Suppose one card is drawn at random from a standard deck. Answer each part. Write your answers as fractions. (a) What is the probability that the card drawn is a jack? 0 X (b) What is the probability that the card drawn is a spade? 0 (c) What is the probability that the card drawn is a jack and a spade? 0 ? 00
Here is a table showing all 52 cards in a standard deck. Face cards Jack Queen King Color Suit Ace Two Three Four Five Six Seven Eight Nine Ten Red Hearts 10 Red Diamonds A Black Spades Black Clubs Suppose one card is drawn at random from a standard deck. Answer each part. Write your answers as fractions. (a) What is the probability that the card drawn is a jack? 0 X (b) What is the probability that the card drawn is a spade? 0 (c) What is the probability that the card drawn is a jack and a spade? 0 ? 00
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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Transcribed Image Text:### Understanding Probabilities in a Deck of Cards
Here is a table showing all 52 cards in a standard deck:
| Color | Suit | Ace | Two | Three | Four | Five | Six | Seven | Eight | Nine | Ten | Face cards |
|-------|-----------|-----------------|-----------------|-----------------|---------------|----------------|---------------|---------------|---------------|---------------|---------------|-------------|
| | Hearts | ♠️ | 2♡ | 3♡ | 4♡ | 5♡ | 6♡ | 7♡ | 8♡ | 9♡ | 10♡ | J♡ Q♡ K♡ |
| Red | Diamonds | 4♡ | 2♦ | 3♦ | 4♦ | 5♦ | 6♦ | 7♦ | 8♦ | 9♦ | 10♦ | J♦ Q♦ K♦ |
| Black | Spades | ♠️ | 2♠ | 3♠ | 4♠ | 5♠ | 6♠ | 7♠ | 8♠ | 9♠ | 10♠ | J♠ Q♠ K♠ |
| | Clubs | ♣ | 2♣ | 3♣ | 4♣ | 5♣ | 6♣ | 7♣ | 8♣ | 9♣ | 10♣ | J♣ Q♣ K♣ |
### Probability Questions
Suppose one card is drawn at random from a standard deck. Answer each part. Write your answers as fractions:
(a) **What is the probability that the card drawn is a jack?**
- There are 4 jacks in a deck (one from each suit: hearts, diamonds, spades, and clubs).
- Probability = \( \frac{number\ of\ jacks}{total\ number\ of\ cards} = \frac{4}{52} = \frac{1}{13} \).
(b) **What is the probability that the card drawn is a spade?**
- There are 13 sp
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