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Conditional Probability from Two-Way Tables

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

The question “Do you play soccer?” was asked of 110 students. Results are shown in the table.


What is the probability a randomly selected student plays soccer?

a)

42/75

b)

12/35

c)

54/110

d)

56/110

2.

What is the probability that a student plays on a sports team given they play an instrument?

a)

.7273

b)

.8

c)

.55

d)

.2222

3.

What is the probability that a female is chose given they like a Toyota? 

a)

.525

b)

.4627

c)

.6774

d)

.3143

4.

Use the table which gives the number of students who completed advanced studies and a popular health sciences program.  What is the probability that a student completed more advanced studies and the health sciences program?  

a)

0.4

b)

0.35

c)

0.6

d)

0.5833

5.

According to the two-way table, a person who plays an instrument is most likely to:

a)

Not play an instrument

b)

Not play a team sport

c)

Play a team sport

d)

All of the above

6.

Of the mechanical engineers, what is the probability that math is their favorite subject?

a)

91

b)

52%

c)

17%

d)

35%

7.

What is the probability that they speak French given they are a girl? 

a)

2.14

b)

.24

c)

.4

d)

.8571

8.

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)

9.

What is the probability of choosing a Honda? 

a)

.5970

b)

.5373

c)

.4627

d)

.4030

10.

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

a)

3/7

b)

7/20

c)

7/10

d)

7/9