Ten otherwise identical cards are numbered from 1 to 7 and well shuffled. One card is randomly drawn. Drawing the card numbered 3 is 1) the sample space 2) an experiment 3) an outcome 4) conditional probability 5) independent of drawing an odd-numbered card
Ten otherwise identical cards are numbered from 1 to 7 and well shuffled. One card is randomly drawn. Drawing the card numbered 3 is 1) the sample space 2) an experiment 3) an outcome 4) conditional probability 5) independent of drawing an odd-numbered card
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%

Transcribed Image Text:**Educational Content: Probability Theory**
**Question:**
Ten otherwise identical cards are numbered from 1 to 7 and well shuffled. One card is randomly drawn. Drawing the card numbered 3 is __________.
1) the sample space
2) an experiment
3) an outcome
4) conditional probability
5) independent of drawing an odd-numbered card
**Explanation:**
In probability theory, when we draw a single card from a set of well-shuffled and otherwise identical cards, the act of drawing the card is known as an **experiment**. The possible results of this experiment are known as the **sample space**, which in this case includes the numbers 1 to 7. If you draw a specific card, such as the card numbered 3, that specific result is known as an **outcome**.
Here, the correct answer would be:
3) an outcome
**Detailed Explanations of Options:**
1) **The sample space**: This refers to all the possible outcomes in a probability experiment. In this case, the sample space is {1, 2, 3, 4, 5, 6, 7}.
2) **An experiment**: This refers to the actual process of conducting the probability event, such as drawing a card.
3) **An outcome**: This refers to the result of the probability experiment, such as drawing card number 3.
4) **Conditional probability**: This is the probability of an event occurring given that another event has already occurred.
5) **Independent of drawing an odd-numbered card**: This refers to whether one event affects the probability of another. Drawing a card numbered 3 is specific and does not depend on the independence related to drawing odd-numbered cards.
Understanding these concepts is crucial for correctly answering probability-based questions.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman