### Understanding Probability with a Deck of Cards**Overview:**As shown in the image above, a classic deck of cards is made up of 52 cards, divided into 4 suits: clubs, spades, diamonds, and hearts. The clubs and spades are black, while the diamonds and hearts are red. Each suit contains 13 cards: the numbers 2 through 10, as well as the jack, queen, king, and ace. The picture (or face) cards are the jack, queen, and king.**Details of the Diagram:**The diagram displays a full deck of cards laid out in rows, sorted by suit. The first row illustrates the clubs, the second row shows the spades, the third row demonstrates the hearts, and the fourth row represents the diamonds. Each row is ordered from the ace (displayed as "A") on the far left to the king on the far right.**Calculating Probability:**If you select a card at random from this deck, we can determine the probability of various outcomes. Let’s explore the given questions:1. **A 5 of Hearts** - **Calculation:** There is only one 5 of Hearts in the entire deck. - **Probability:** 1 out of 52 cards (1/52).2. **A Spade or Heart** - **Calculation:** There are 13 spades and 13 hearts in a deck. - **Probability:** 26 out of 52 cards (26/52 or simplified to 1/2).3. **A Number Smaller Than 5 (Counting the Ace as 1)** - **Calculation:** In each suit, the numbers smaller than 5 are: Ace, 2, 3, and 4. This gives us 4 cards per suit. With 4 suits in total, we calculate 4 cards/suit * 4 suits = 16 cards. - **Probability:** 16 out of 52 cards (16/52 or simplified to 4/13).By understanding these probabilities, students can grasp basic concepts of random selection and likelihood in the context of a standard deck of cards. Add your answers to the boxes provided to check your understanding.

Answered: Image /qna-images/answer/171ad770-1157-4c84-98a8-162efdc0a565.jpg

As shown above, a classic deck of cards is made up of 52 cards, 4 suits with clubs and spades black and diamonds and hearts red. There are 13 cards each suit: #2-10, jack, queen, king and ace. Picture (or face) cards are the jack, queen, and king. If you select a card at random, what is the probability of getting: 1) A(n) 5 of Heart s? 2) A Spade or Heart? 3) A number smaller than 5 (counting the ace as a 1)? of ..

As shown above, a classic deck of cards is made up of 52 cards, 4 suits with clubs and spades black and diamonds and hearts red. There are 13 cards each suit: #2-10, jack, queen, king and ace. Picture (or face) cards are the jack, queen, and king. If you select a card at random, what is the probability of getting: 1) A(n) 5 of Heart s? 2) A Spade or Heart? 3) A number smaller than 5 (counting the ace as a 1)? of ..

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

### Understanding Probability with a Deck of Cards

**Overview:**

As shown in the image above, a classic deck of cards is made up of 52 cards, divided into 4 suits: clubs, spades, diamonds, and hearts. The clubs and spades are black, while the diamonds and hearts are red. Each suit contains 13 cards: the numbers 2 through 10, as well as the jack, queen, king, and ace. The picture (or face) cards are the jack, queen, and king.

**Details of the Diagram:**

The diagram displays a full deck of cards laid out in rows, sorted by suit. The first row illustrates the clubs, the second row shows the spades, the third row demonstrates the hearts, and the fourth row represents the diamonds. Each row is ordered from the ace (displayed as "A") on the far left to the king on the far right.

**Calculating Probability:**

If you select a card at random from this deck, we can determine the probability of various outcomes. Let’s explore the given questions:

1. **A 5 of Hearts**

- **Calculation:** There is only one 5 of Hearts in the entire deck.
- **Probability:** 1 out of 52 cards (1/52).

2. **A Spade or Heart**

- **Calculation:** There are 13 spades and 13 hearts in a deck.
- **Probability:** 26 out of 52 cards (26/52 or simplified to 1/2).

3. **A Number Smaller Than 5 (Counting the Ace as 1)**

- **Calculation:** In each suit, the numbers smaller than 5 are: Ace, 2, 3, and 4. This gives us 4 cards per suit. With 4 suits in total, we calculate 4 cards/suit * 4 suits = 16 cards.
- **Probability:** 16 out of 52 cards (16/52 or simplified to 4/13).

By understanding these probabilities, students can grasp basic concepts of random selection and likelihood in the context of a standard deck of cards. Add your answers to the boxes provided to check your understanding.

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