
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Question
![Consider the following Venn Diagram, which was constructed based on the data from a survey of 222 UNLV students about whether or not they had any of the three social media accounts.
[Image: Venn Diagram showing the distribution of social media accounts among UNLV students]
**Venn Diagram Explanation:**
- **Facebook:**
- Total with Facebook accounts: 46
- Facebook and Instagram only: 23
- Facebook and Twitter only: 24
- All three accounts (Facebook, Instagram, Twitter): 2
- **Instagram:**
- Total with Instagram accounts: 50
- Instagram and Facebook only: 23
- Instagram and Twitter only: 23
- All three accounts (Facebook, Instagram, Twitter): 2
- **Twitter:**
- Total with Twitter accounts: 37
- Twitter and Facebook only: 24
- Twitter and Instagram only: 23
- All three accounts (Facebook, Instagram, Twitter): 2
- **Only Instagram:** 17
**Questions:**
a) What is the probability that a UNLV student **has a Facebook account, but not a Twitter account**?
(Round your answer to four decimal places before entering in the box below).
[Input Box]
b) What is the probability that a UNLV student **has both Instagram AND Twitter accounts, but not a Facebook account**?
(Round your answer to four decimal places before entering in the box below).
[Input Box]](https://content.bartleby.com/qna-images/question/fa413bcf-f4d4-4563-8c5c-bfbbe2a7d62c/476266d8-b070-47e0-83f1-b45be7b31513/scu15nh_thumbnail.png)
Transcribed Image Text:Consider the following Venn Diagram, which was constructed based on the data from a survey of 222 UNLV students about whether or not they had any of the three social media accounts.
[Image: Venn Diagram showing the distribution of social media accounts among UNLV students]
**Venn Diagram Explanation:**
- **Facebook:**
- Total with Facebook accounts: 46
- Facebook and Instagram only: 23
- Facebook and Twitter only: 24
- All three accounts (Facebook, Instagram, Twitter): 2
- **Instagram:**
- Total with Instagram accounts: 50
- Instagram and Facebook only: 23
- Instagram and Twitter only: 23
- All three accounts (Facebook, Instagram, Twitter): 2
- **Twitter:**
- Total with Twitter accounts: 37
- Twitter and Facebook only: 24
- Twitter and Instagram only: 23
- All three accounts (Facebook, Instagram, Twitter): 2
- **Only Instagram:** 17
**Questions:**
a) What is the probability that a UNLV student **has a Facebook account, but not a Twitter account**?
(Round your answer to four decimal places before entering in the box below).
[Input Box]
b) What is the probability that a UNLV student **has both Instagram AND Twitter accounts, but not a Facebook account**?
(Round your answer to four decimal places before entering in the box below).
[Input Box]
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