MAT 172 – Quiz 8
NAME ____________________
Directions: Show all work and write your final answer in the space provided.
For question 1 – 3 use the following information.
Let U = {2, 3, 4, 5, 7, 9}, X = {2, 3, 4, 5}, Y = {3, 5, 7, 9}, and Z = {2, 4, 5, 7, 9}
1. List the members of X  Y
1. _______________
2.
List the members of X  (Y  Z)
2. _______________
3.
List the member of (X  Y )  Z
3. _______________
4.
Sketch a Venn diagram showing the following: A  B
4. _______________
5.
If n(A) = 12, n(B) = 27, and n(A  B)  30 , what is n(A  B) ?
5. _______________
Use the following information to answer questions 6 – 9:
Toward the middle of harvesting season, peaches for canning come in three types, early, late, and extra late,
depending on the expected date of ripening. During a certain week, the following data were recorded at a fruit
delivery station.:
34 trucks went out carrying early peaches;
61 carried late peaches;
50 carried extra late peaches;
25 carried early and late;
30 carried late and extra late;
8 carried early and extra late;
6 carried all three;
9 carried only figs (no peaches).
6.
How many trucks carried only late peaches?
6. _______________
7.
How many carried only extra late peaches?
7. _______________
8.
How many carried only one type of peach?
8. _______________
9.
How many trucks in all went out during the week?
9. _______________
10. A single fair die is rolled. Find the probability of getting a number greater than 2.
10. _______________
11. A single fair die is rolled. Find the probability of getting a 3 or a 5.
11. _______________
12. A card is drawn from a deck of 52 cards. Find the probability of getting a red 7.
12. _______________
13. A card is drawn from a deck of 52 cards. Find the probability of getting a face card. 13. _______________
14. A card is drawn from a deck of 52 cards. Find the probability of getting a 3 or
a heart.
14. _______________
15. A card is drawn from a deck of 52 cards. Find the probability of getting a 9 or a 10. 15. _______________
Use a Venn diagram and the following information to answer questions 16 – 19:
Suppose P(E) = .26, P(F) = .41, and P(E  F)  .17
16. Find P(E  F)
16. _______________
17. Find P(E   F)
17. _______________
18. Find P(E  F)
18. _______________
19. Find P(E   F)
19. _______________
20. Find the odd of rain if the probability of rain is 70%.
20. _______________