You toss a fair coin 4 times. What is the probability that (round to 4 decimal places) a) you get all Tails? b) you get at least one Head?
You toss a fair coin 4 times. What is the probability that (round to 4 decimal places) a) you get all Tails? b) you get at least one Head?
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
![**Coin Toss Probability Problem**
You toss a fair coin 4 times. What is the probability that (round to 4 decimal places):
a) You get all Tails? [ ]
b) You get at least one Head? [ ]
[Submit Question]
---
**Explanation:**
This problem involves calculating the probability of specific outcomes when tossing a fair coin multiple times.
- **Probability of all Tails:** For each coin toss, there is a 50% (0.5) chance of landing on Tails. For four tosses, the probability of all outcomes being Tails is calculated as (0.5)^4.
- **Probability of at least one Head:** This can be calculated by first finding the probability of getting all Tails (as done above) and subtracting it from 1, since having at least one Head is the complementary event to having all Tails.
Please calculate the probabilities and enter them in the boxes provided.
---
Click "Submit Question" after entering your answers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24b8115f-9a19-47b6-814b-3be924127cef%2F3dae3a85-ffab-4a1d-9ac9-cb37ea672395%2Frobj5k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Coin Toss Probability Problem**
You toss a fair coin 4 times. What is the probability that (round to 4 decimal places):
a) You get all Tails? [ ]
b) You get at least one Head? [ ]
[Submit Question]
---
**Explanation:**
This problem involves calculating the probability of specific outcomes when tossing a fair coin multiple times.
- **Probability of all Tails:** For each coin toss, there is a 50% (0.5) chance of landing on Tails. For four tosses, the probability of all outcomes being Tails is calculated as (0.5)^4.
- **Probability of at least one Head:** This can be calculated by first finding the probability of getting all Tails (as done above) and subtracting it from 1, since having at least one Head is the complementary event to having all Tails.
Please calculate the probabilities and enter them in the boxes provided.
---
Click "Submit Question" after entering your answers.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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.Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman