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MP 2, Section 4 Quiz 3 (Probability: Theoretical, Experimental, Compound, Fairness)
Name _________________________
HR _____________ Date ____________________
(20 possible points)
Show work for all computations.
1. In your last 15 basketball games, you attempted 90 free throws and made 45. What is the
experimental probability that you will make a free throw in your next attempt? Write your
answer as a decimal.
(2 points)
2. Students in Mr. Zang’s fifth period math class took turns tossing a fair coin. They were paired
into two groups and their results are recorded in the table below.
Number
Group Number
of Tosses of Tails
A
400
192
B
600
303
a. How many heads were tossed in group A?
(1 point)
b. Find the experimental probability of tails coming up for each group of students. Write your
answer as a decimal and as a whole percent.
(2 points)
3. What is the experimental probability that the spinner stops on G? Write your answer as a
fraction and as a whole percent.
(2 points)
R
B
R
B
R
G
G
Outcome Total
B
26
G
24
Y
13
R
33
Y
1
MP 2, Section 4 Quiz 3 (Probability: Theoretical, Experimental, Compound, Fairness)
Name _________________________
HR _____________ Date ____________________
4. The chart shows the results of spinning the spinner 47 times.
1
2
4
3
(4 points)
Number 1 Number 2 Number 3 Number 4
10
14
15
8
a. Find the experimental probability of the spinner landing on the number 2. Write your answer
as a fraction and as a percent rounded to the nearest tenth.
b. Find the experimental probability of the spinner not landing on the number 4. Write your
answer as a fraction and as a percent rounded to the nearest tenth.
5. A bag holds 2 brown marbles and 3 yellow marbles. Sonya takes a marble out of the bag,
records the color, and then replaces the marble in the bag. She does this 20 times and records her
results below.
(2 points)
brown
yellow
represents 5
a. Are the outcomes for the experiment equally likely? _____________ Why?
b. Find the experimental probability that a brown marble will be chosen from the bag. Write your
result as a decimal. Round to the nearest hundredth when necessary.
2
MP 2, Section 4 Quiz 3 (Probability: Theoretical, Experimental, Compound, Fairness)
Name _________________________
HR _____________ Date ____________________
6. Suppose you pick one of the thirteen club cards in a standard deck of playing cards without
looking. Find the theoretical probability of picking a face card. Write your answer as a decimal
rounded to the nearest hundredth.
(2 points)
A

2

3

4

5

6

7

8

9

10 J
 
Q

K

7. Two six-sided number cubes are rolled. Find the probability of rolling a total of 3.
[A] 1
[B]
1
36
[C]
1
18
(1 point)
[D]
1
9
8. A coin is tossed. If a head appears, a spinner that can land on any of the numbers from 1 to 6 is
spun. If a tail appears, the coin is tossed a second time instead of spinning the spinner. What is a
list of all the possible outcomes?
(1 point)
[A] (T, H), (H, H), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)
[B] (T, H), (H, H), (H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)
[C] (T, H), (T, T), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)
[D] (T, H), (T, T), (H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)
9. A spinner is numbered from 1 through 8 with each number equally likely to occur. What is the
probability of obtaining a number less than 4 or greater than 7 in a single spin?
(2 points)
10. Eight balls numbered from 1 to 8 are placed in an urn. If one ball is selected at random, find
the probability that it is NOT number 6.
(1 point)
[A]
7
8
[B]
1
8
[C]
3
3
4
[D]
1
2
MP 2, Section 4 Quiz 3 (Probability: Theoretical, Experimental, Compound, Fairness)
Name _________________________
HR _____________ Date ____________________
Reference: [4.1.1.2]
[1] 0.5
Reference: [4.1.1.3]
[2] a. 208 heads
b. Group A: 0.48, 48% ; Group B: 0.505, 50.5%
Reference: [4.1.1.4]
24
1
[3]
or ; 25%
96
4
Reference: [4.1.1.6]
14
[4] a.
; 29.8%
47
39
b.
; 83%
47
Reference: [4.1.1.8]
[5] a. No. There are less brown marbles than yellow marbles.
b. 0.4
Reference: [4.1.2.9]
[6] 0.23
Reference: [4.1.2.10]
[7] [C]
Reference: [4.1.2.14]
[8] [D]
Reference: [4.1.2.15]
1
[9]
2
Reference: [4.1.2.16]
[10] [A]
4