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...
icon
Related questions
Question
### 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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer