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Honors Geometry
Quiz, Probability
Name:
___________________________________
Date:_____________________________________Period: _________
For questions 1-5 write the letter that represents the best choice on the line provided.
1. The sample space is the even natural numbers from 2 to 20. Set A = the factors of 10 and Set B = the factors of 12,
then Set A ∩ Set B is:
A) Ø
B) {2}
C) {2, 4}
D) {2, 4, 6, 12}
1. ___________
2. The sample space is the natural numbers from 1 to 8. Set A = the odd numbers and Set B = the factors of 8,
then Set A U Set B is:
A) Ø
B) {1}
C) {1, 3, 5, 7}
D) {1, 2, 3, 4, 5, 7, 8}
2. ___________
3. Events A and B are independent. If the P(A) = 0.5 and the P(B) = 0.3, then the P(A and B) =
A) 0.15
B) 0.25
C) 0.3
D) 0.8
3. ___________
4. Events A and B are not independent. If the P(A) = 0.2 and the P(B) = 0.6, then the P(A and B) =
A) 0.12
B) 0.4
C) 0.8
D) Not Enough Info
4. ___________
5. If Event A (the temperature) and Event B are independent, which could be Event B?
A) Time of Day
C) Time of Year
B) Cost of the Heating Bill
D) Your Height
5. ___________
For questions 6-12 answer each questions in the space provided.
6. Create a Venn Diagram that represents given probabilities and then find the missing probability.
P(Odd), P(# < 7)
P(Odd ∩ # < 7) = ___________
7. In a class of 50 students, 18 take Art, 26 take Drama, and 12 take both Art and Drama. How many students
in the class are not enrolled in either Art or Drama?
Number of students ________
For questions 8-9, Use the given probabilities determine the missing probability.
8. P(A or B) = 0.54
P(A) = 0.31, P(B) = 0.27
P(A and B) = ________
9. P(A or B) = 0.63
P(B and Not A) = 0.33
P(A) = __________
For questions 10-11, determine if the two events are independent and then find the missing probability.
10. P(A and B) = 0.2
P(A) = 0.5
P(A or B) = 0.8
11. P(A and B) = 0.1
P(A) = 0.4
P(B) = 0.25
a) Are the events
independent?
a) Are the events
independent?
Yes or No
Yes or No
b) P(B) = ___________
b) P(B|A) = __________