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FB 31: Conditional Probability

Total questions: 30

Worksheet time: 1hrs 9mins

Name
Class
Date
1.
What is the probability that a student does not play on a sports team? 
a)
.5
b)
.45
c)
.55
2.
a)
.2855
b)
.6246
c)
.0922
d)
.3230
3.
What is the probability of choosing a Honda? 
a)
.5970
b)
.5373
c)
.4627
d)
.4030
4.
What is the probability that a student does play a sport given they do not play an instrument? 
a)
.2
b)
.2222
c)
.10
d)
.5
5.
What is the probability that the person picked will be a boy given they speak german? 
a)
.7273
b)
.4
c)
.16
d)
.22
6.
What is the probability that a female is chose given they like a Toyota? 
a)
.525
b)
.4627
c)
.6774
d)
.3143
7.

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

8.
What is the probability that they speak French given they are a girl? 
a)
2.14
b)
.24
c)
.4
d)
.8571
9.
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)
10.
P(Pizza|Senior):
a)
10/15
b)
4/5
c)
2/3
d)
10/5
11.

Consider the following table with information about all of the students taking Statistics at Happy High School.


P( Male | Full-time)

a)

28/71

b)

3/7

c)

12/71

d)

3/10

12.
What is the probability that a student does not play on a sports team? 
a)
.5
b)
.45
c)
.55
13.
What is the probability that a student does play a sport given they do not play an instrument? 
a)
.2
b)
.2222
c)
.10
d)
.5
14.
P(Sandals|Pants):
a)
4/20
b)
6/15
c)
1/2
d)
2/7
15.

What is the probability that a randomly selected student plays sports given that they do not do community service?

a)

427\frac{4}{27}

b)

412\frac{4}{12}

c)

49\frac{4}{9}

d)

45\frac{4}{5}

16.

What is the probability that a student plays sports given that they do community service?

a)

515\frac{5}{15}

b)

59\frac{5}{9}

c)

527\frac{5}{27}

d)

915\frac{9}{15}

17.

What is the probability that a student takes Latin given that they participate in a club?

a)

59378\frac{59}{378}

b)

4159\frac{41}{59}

c)

41378\frac{41}{378}

d)

41240\frac{41}{240}

18.

What is the probability that a student does not participate in a club given that they take sign language?

a)

25138\frac{25}{138}

b)

2577\frac{25}{77}

c)

25378\frac{25}{378}

d)

77138\frac{77}{138}

19.
The outcome of one event does influence the outcome of the other event.
a)
mutually exclusive event
b)
probability
c)
dependent event
d)
simple probability
20.
How many chemical engineers chose Science as their favorite subject?
a)
80
b)
91
c)
171
d)
262
21.

Participants were asked about their gender and their favorite season.

True or False:

A total of 301 people were surveyed.

a)

True

b)

False

22.

Participants were asked about their gender and their favorite season.

True or False:

Both male and female participants preferred winter the least

a)

True

b)

False

23.

48 male and 52 female students take a survey about their preferred sport. According to the chart, which sport was most popular among female students?

a)

Baseball

b)

Basketball

c)

Football

d)

Golf

24.

Mr. Great Artist sold a total of 1,790 prints of one of his drawings. Out of all 1,273 unframed prints that he sold, 152 were small and 544 were medium-sized. Out of all of the framed prints that he sold, 23 were small and 42 were extra large. Of the large prints that he sold, 188 were framed and 496 were unframed.

a)

329

b)

475

c)

517

d)

1034

25.

How many male students were surveyed?

a)

30

b)

29

c)

50

d)

59

26.

How many total people were surveyed?

a)

78

b)

22

c)

70

d)

100

27.

When rolling a single die, the events of rolling an even number and rolling a ‘5’ are mutually exclusive.

a)

True

b)

False

28.

If a spinner is numbered 1 – 8, when you spin it the events of spinning an even number and a number less than 4 are mutually exclusive.

a)

True

b)

False

29.
Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies? 
a)
27/40
b)
1.48
c)
.008
d)
.0593
30.

P(A)=2/5 P(B)=1/5 P(A and B)=2/25

a)

Dependent

b)

Independent

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