Question

In a group of 50 students, 40 study Mathematics, 32 study Physics, and each student studies at least one of these subjects. a. Use a Venn diagram to find how many students study both subjects. b. If a student from this group is randomly selected, find the probability that he or she: i. studies Mathematics but not Physics ii. studies Physics given that he or she studies Mathematics.

Solution

Verified
Step 1
1 of 3

a. Say there are mm students who study only mathematics, pp students who study only physics, and bb students who study both the subjects. Then, we are given that,

m+b=40,p+b=32,m+p+b=50.m+b = 40, \quad p+b = 32, \quad m+p+b = 50.

Then, p=5040=10p = 50 - 40 =10, and, m=5032=18m = 50 - 32=18.

Hence, b=50(10+18)=22b = 50-(10+18) = 22. The following Venn diagram illustrates the situation.

Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy
Continue with GoogleContinue with Facebook

Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy
Continue with GoogleContinue with Facebook

Recommended textbook solutions

Probability and Statistics for Engineers and Scientists 9th Edition by Keying E. Ye, Raymond H. Myers, Ronald E. Walpole, Sharon L. Myers

Probability and Statistics for Engineers and Scientists

9th EditionISBN: 9780321629111 (1 more)Keying E. Ye, Raymond H. Myers, Ronald E. Walpole, Sharon L. Myers
1,204 solutions
Cambridge IGCSE Mathematics: Core and Extended 3rd Edition by Ric Pimentel

Cambridge IGCSE Mathematics: Core and Extended

3rd EditionISBN: 9781444191707Ric Pimentel
1,773 solutions
Statistics and Probability with Applications 3rd Edition by Daren S. Starnes, Josh Tabor

Statistics and Probability with Applications

3rd EditionISBN: 9781464122163Daren S. Starnes, Josh Tabor
2,555 solutions
Mathematics for the International Student: IB Diploma HL Core 2nd Edition by David Martin, Michael Haese, Paul Urban, Robert Haese, Sandra Haese

Mathematics for the International Student: IB Diploma HL Core

2nd EditionISBN: 9781876543112David Martin, Michael Haese, Paul Urban, Robert Haese, Sandra Haese
3,173 solutions

More related questions

1/2

1/3