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 fa cards are the jack, queen, and king. If you select a card at random, what is the probability of picking a(n) 9 of Diamonds ?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
### Understanding a Standard Deck of Cards

As shown above, a classic deck of cards is made up of 52 cards. There are 4 suits in total:
- Clubs
- Spades
- Diamonds
- Hearts

Each suit contains 13 cards:
- Numbered cards from 2 to 10
- Three face cards: Jack, Queen, and King
- An Ace

Clubs and Spades are black suited, while Diamonds and Hearts are red suited.

The diagram above visually represents all the cards in a standard deck, sorted by suits in rows:
- The first row displays the Clubs (♣).
- The second row displays the Spades (♠).
- The third row displays the Hearts (♥).
- The fourth row displays the Diamonds (♦).

Each row shows the cards in increasing order starting from Ace (A) to King (K), covering number cards (2-10), and face cards (J for Jack, Q for Queen, and K for King).

### Example Probabilistic Question

**Question:**

If you select a card at random, what is the probability of picking a 9 of Diamonds (♦)?

**Answer:**

To find the probability:
1. **Identify the total number of possible outcomes:** There are 52 cards in total.
2. **Identify the successful outcome:** There is only one 9 of Diamonds in a deck.

Probability is calculated as:
\[ \text{Probability} = \frac{\text{Number of successful outcomes}}{\text{Total number of possible outcomes}} \]

Using the numbers:

\[ \text{Probability} = \frac{1}{52} \]

Hence, the probability of picking the 9 of Diamonds at random from a deck of 52 cards is \(\frac{1}{52}\).
Transcribed Image Text:### Understanding a Standard Deck of Cards As shown above, a classic deck of cards is made up of 52 cards. There are 4 suits in total: - Clubs - Spades - Diamonds - Hearts Each suit contains 13 cards: - Numbered cards from 2 to 10 - Three face cards: Jack, Queen, and King - An Ace Clubs and Spades are black suited, while Diamonds and Hearts are red suited. The diagram above visually represents all the cards in a standard deck, sorted by suits in rows: - The first row displays the Clubs (♣). - The second row displays the Spades (♠). - The third row displays the Hearts (♥). - The fourth row displays the Diamonds (♦). Each row shows the cards in increasing order starting from Ace (A) to King (K), covering number cards (2-10), and face cards (J for Jack, Q for Queen, and K for King). ### Example Probabilistic Question **Question:** If you select a card at random, what is the probability of picking a 9 of Diamonds (♦)? **Answer:** To find the probability: 1. **Identify the total number of possible outcomes:** There are 52 cards in total. 2. **Identify the successful outcome:** There is only one 9 of Diamonds in a deck. Probability is calculated as: \[ \text{Probability} = \frac{\text{Number of successful outcomes}}{\text{Total number of possible outcomes}} \] Using the numbers: \[ \text{Probability} = \frac{1}{52} \] Hence, the probability of picking the 9 of Diamonds at random from a deck of 52 cards is \(\frac{1}{52}\).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Permutation and Combination
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman