Ven Diagram

PROBLEM SET #6

Answer the following questions about the Venn diagram below.

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1. n(U) =

2. n(A) =

3. n(B) =

4. n() =

5. n() =

6. n(A ⋃ B) =

7. n(A ∩ B) =

8. n( ⋃ ) =

9. n( ∩ ) =

10. n(A ∩ ) =

11. n( ⋃ B) =

12. n(A ⋃ ) =

13. n(∩ B) =

 

 

In a survey of 200 people 15 own a rifle, 25 own a handgun and 5 own both. Answer the following questions by using a Venn diagram.

 

 

 

 

 

14. How many people own a rifle only?

15. How many people own a handgun only?

16. How many people own a rifle or a handgun?

17. How many people did not own a rifle?

18. How many people did not own a handgun?

19. How many people own neither a handgun nor a rifle?

 

In a survey of 100 people 80 had to check accounts, 60 had savings accounts, and 50 had both. Answer the following questions by using a Venn diagram.

 

 

 

 

20. How many people had a checking account only?

21. How many people had a savings account only?

22. How many people had a checking account or a savings account?

23. How many people did not have a checking account?

24. How many people did not have a savings account?

25. How many people had neither a checking account nor a savings account?

A survey of 140 people at a movie theater for one evening revealed the following information. Fifty people purchased candy, 65 purchased popcorn, and 80 purchased a drink. Twenty-five people purchased popcorn and candy, 50 people purchased popcorn and a drink, and 30 people purchased candy and a drink. Twenty people purchased all three. Use a Venn diagram to answer the following questions.

 

 

 

 

 

 

26. How many purchased only a drink?

27. How many purchased popcorn or candy?

28. How many purchased popcorn and a drink but not candy?

29. How many did not purchase a drink?

30. How many purchased only popcorn?

31. How many did not purchase any of the three?

32. How many purchased a drink or candy?

33. How many did not purchase popcorn?

34. How many purchased candy and a drink but not popcorn?

35. How many purchased popcorn or a drink?

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