Here is a table showing all 52 cards in a standard deck. Face cards Color Sult Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King Red Hearts AV 2 3 4 5 6 7 8 9 10 JV Q KV Red Diamonds A 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ 10+ J+ Q+ K+ Black Spades Ae 24 34 44 54 64 74 84 94 104 Je Q+ Ke Black Clubs A 24 34 4+ 5+ 64 7+ 84 94 104 Je Q4 K+ A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the deck. What is the probability that the first card drawn is black and the second card drawn is a heart? Do not round your intermediate computations. Round your final answer to four decimal places.

Here is a table showing all 52 cards in a standard deck. Face cards Color Sult Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King Red Hearts AV 2 3 4 5 6 7 8 9 10 JV Q KV Red Diamonds A 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ 10+ J+ Q+ K+ Black Spades Ae 24 34 44 54 64 74 84 94 104 Je Q+ Ke Black Clubs A 24 34 4+ 5+ 64 7+ 84 94 104 Je Q4 K+ A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the deck. What is the probability that the first card drawn is black and the second card drawn is a heart? Do not round your intermediate computations. Round your final answer to four decimal places.

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

### Standard Deck of Cards: Explanation and Probability Calculation

**Standard Deck Composition**

A standard deck consists of 52 cards divided into four suits: Hearts, Diamonds, Spades, and Clubs. Each suit has 13 ranks: Ace, Two, Three, Four, Five, Six, Seven, Eight, Nine, Ten, Jack, Queen, and King. For a detailed view, refer to the table below:

| Color | Suit | Ace | Two | Three | Four | Five | Six | Seven | Eight | Nine | Ten | Jack | Queen | King |
|-------|---------|-----|-----|-------|------|------|-----|-------|-------|-------|--------|------|-------|-------|
| 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 Question**

Consider the following scenario:

- A card is drawn at random from a standard deck. This card is not put back into the deck.
- A second card is then drawn at random from the remaining cards in the deck.

**Question:** What is the

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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 3♥ 4♥ 5♥6♥ 7♥ 9♥ 10♥ J♥ Q♥ K♥ Red Hearts A♥ 2♥ 8♥ Red Diamonds A+ 2+ 34 4+ 5+ 6+ 74 8+ 9 10 J Q+ K♦ Black Spades A 24 34 54 64 74 84 9 10 Ja Q+ K Black Clubs 4* 24 34 44 54 64 7+ 8+ 9 10 J Q K 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 nine? 0 (b) What is the probability that the card drawn is a red card? (c) What is the probability that the card drawn is a nine or a red card? 0 00 X ?