'33 - Birmingham Schools
Probabilities and Venn Diagrams Use the Venn Diagram below about music preferences of students to answer questions #1-5
Rock
Rap
Country
1. How many total people are represented in the diagram?
'33 2. How many people like Country music?
3. If one person is chosen at random, what is the probability that the person will like Rap music?
q3
P(Rap)=
4. If one person is chosen at random, what is the probability that the person will prefer Country or Rock music?
P(Country or Rock)= 6 2- 3/
01
7- . 9 `12,,
5. If one person is chosen at random, what is the probability that the person will like Rap and Rock music?
P(Rap and Rock)-
L1 3 - 0 ,
Use the following information to fill in the Venn Diagram below:
100 students were asked if they liked Math, Science, or Social Studies. Everyone answered that they liked as least one.
56 like Math
18 like Math and Science
43 like Science
10 like Science and Social Studies
35 like Social Studies
12 like Math and Social Studies
6 like all three subjects
Science
Social Studies
6. How many people like Math only? 9- 0
7. How many students like Science only? 9
8. If one person is chosen at random, what is the probability that the person will like Science and Math?
P(Science and Math)= roa
9. If one person is chosen at random, what is the probability that person will like only Math?
P(Math)--
o,
2-0 ??,9
(00
10. If one person is chosen at random, what is the probability that person will like Science or Social Studies?
P(Science or Social Studies)= /4x )
11. If one person is chosen at random, what is the probability that person will NOT like Science?
347 P(Not Science)= ao
396:7,,
12. If one person is chosen at random, what is the probability that person will like Math but not Social Studies?
P(Math and Not Social Studies)=
3 ,-c2 38- 7-
5
A school library classifies its books as hardback or paperback, fiction or nonfiction, and illustrated or non-illustrated. Use the table at the right for Exercises 13-15.
Illustrated
Fiction Hardback Nonfiction
Fiction Paperback Nonfiction TOTAL:
420 590 170 210 1390
Nonillustrated
770 240 350 920 2280
TOTAL:
1190 830 520 1130 3670
13. What is the probability that a book selected at random is a paperback, given that it is non-illustrated?
ra.9-6)
-
14. What is the probability that a book selected at random is nonfiction, given that it is an illustrated hardback?
5'70
C70
15. What is the probability that a book selected at random is a Fiction?
17-/
1166
6
6`1?
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