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Conditional probability- QUIZ

Total questions: 12

Worksheet time: 36mins

Name
Class
Date
1.

In a class of students, the following data table summarizes how many students have a brother or a sister. What is the probability that a student has a brother given that they do not have a sister? Write your answer as a fraction

(a)  

2.

In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student plays a sport given that they play an instrument? Write your answer as a fraction

(a)  

3.

In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student plays a sport or that they play an instrument? Write your answer as a fraction

(a)  

4.

The following table represents the highest educational attainment of all adult residents in a certain town. If an adult age 50 & over is chosen randomly from the town, what is the probability that they only have a high school degree? Write your answer as a fraction

(a)  

5.

The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who has a master's degree is chosen at random, what is the probability that they age 20-29? Write your answer as a fraction

(a)  

6.

The following table represents the highest educational attainment of all adult residents in a certain town. If a resident is chosen at random, what is the probability that they are age 40 or above? Write your answer as a fraction

(a)  

7.
a)
.2855
b)
.6246
c)
.0922
d)
.3230
8.

What is the probability that a student does not play on a sports team given they play an instrument?

a)

3/11

b)

3/10

c)

3/20

9.

What is P(Foreign language | Sport)?

What is the probability a student takes foreign language given they are in a sport?

a)

14/27

b)

7/12

c)

23/47

d)

37/47

10.
P(Sandals|Pants):
a)
4/20
b)
6/15
c)
1/2
d)
2/7
11.
If I calculate the probability 3/10 as the answer to a question, what was the question?
a)
P(plays instruments given does not play sports)
b)
P(plays instruments)
c)
P(does not play sports given plays instruments)
d)
P(does not play sports AND plays instruments)
12.

What is the probability of choosing someone who doesn't play given that they are not a boy.

a)

5/6

b)

1/3

c)

5/14

d)

23/42