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Here is a table showing all 52 cards in a standard deck. Face cards Color Suit Ace Two Three Four Five Six Seven Eight Nine. Ten Jack Queen King Red Hearts A 10 Red Diamonds A 2♦ JQ K Black Spades Ac Q K Black Clubs A 10 Q K Suppose one card is drawn at random from a standard deck. (a) Find the odds in favor of drawing a red three. 0:0 ☐ to 0 (b) Find the odds against drawing a face card. 0 ?

Here is a table showing all 52 cards in a standard deck. Face cards Color Suit Ace Two Three Four Five Six Seven Eight Nine. Ten Jack Queen King Red Hearts A 10 Red Diamonds A 2♦ JQ K Black Spades Ac Q K Black Clubs A 10 Q K Suppose one card is drawn at random from a standard deck. (a) Find the odds in favor of drawing a red three. 0:0 ☐ to 0 (b) Find the odds against drawing a face card. 0 ?

A First Course in Probability (10th Edition)
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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### Standard Deck of 52 Cards Below is a table displaying all 52 cards in a standard deck, categorized by color, suit, and rank: | Color | Suit | Ace | Two | Three | Four | Five | Six | Seven | Eight | Nine | Ten | Face Cards | |-------|-----------|-----|-----|-------|------|------|-----|-------|-------|------|-----|------------| | Red | Hearts | A♥ | 2♥ | 3♥ | 4♥ | 5♥ | 6♥ | 7♥ | 8♥ | 9♥ | 10♥ | J♥ Q♥ K♥ | | Red | Diamonds | A♦ | 2♦ | 3♦ | 4♦ | 5♦ | 6♦ | 7♦ | 8♦ | 9♦ | 10♦ | J♦ Q♦ K♦ | | Black | Spades | A♠ | 2♠ | 3♠ | 4♠ | 5♠ | 6♠ | 7♠ | 8♠ | 9♠ | 10♠ | J♠ Q♠ K♠ | | Black | Clubs | A♣ | 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.** (a) **Find the odds in favor of drawing a red three.** (b) **Find the odds against drawing a face card.** #### Instructions for Answering: 1. For part (a), count the number of red threes in the deck and compare it to the total number of cards. 2. For part (b), count the number of face cards in the deck and determine the odds against drawing one. Use the following odds notation format: \( \text{a} : \text{b} \). You may apply appropriate statistical and combinatorial techniques to solve
Transcribed Image Text:### Standard Deck of 52 Cards Below is a table displaying all 52 cards in a standard deck, categorized by color, suit, and rank: | Color | Suit | Ace | Two | Three | Four | Five | Six | Seven | Eight | Nine | Ten | Face Cards | |-------|-----------|-----|-----|-------|------|------|-----|-------|-------|------|-----|------------| | Red | Hearts | A♥ | 2♥ | 3♥ | 4♥ | 5♥ | 6♥ | 7♥ | 8♥ | 9♥ | 10♥ | J♥ Q♥ K♥ | | Red | Diamonds | A♦ | 2♦ | 3♦ | 4♦ | 5♦ | 6♦ | 7♦ | 8♦ | 9♦ | 10♦ | J♦ Q♦ K♦ | | Black | Spades | A♠ | 2♠ | 3♠ | 4♠ | 5♠ | 6♠ | 7♠ | 8♠ | 9♠ | 10♠ | J♠ Q♠ K♠ | | Black | Clubs | A♣ | 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.** (a) **Find the odds in favor of drawing a red three.** (b) **Find the odds against drawing a face card.** #### Instructions for Answering: 1. For part (a), count the number of red threes in the deck and compare it to the total number of cards. 2. For part (b), count the number of face cards in the deck and determine the odds against drawing one. Use the following odds notation format: \( \text{a} : \text{b} \). You may apply appropriate statistical and combinatorial techniques to solve
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