Free Printable Statistics Review Ch5

1.

The table displayed is for the members of the U.S. Senate. If a U.S. Senator was selected at random, what is the probability that the senator is a Democrat?

a)

.6

b)

.47

c)

.36

d)

.40

2.

The table displayed is for the members of the U.S. Senate. If a U.S. Senator was selected at random, what is the probability that the senator is female?

a)

.17

b)

.60

c)

.83

d)

.40

3.

100 people were surveyed. 54 were female, and 46 were male. 33 of the females said they were democrats, and 30 of the males said they were republicans. If a person is randomly selected, what is the probability that its a democrat GIVEN THAT it is a female?

a)

.67

b)

.49

c)

.61

d)

.33

4.

100 people were surveyed. 54 were female, and 46 were male. 33 of the females said they were democrats, and 30 of the males said they were republicans. If two people are randomly selected, what is the probability they are both males?

a)

.30

b)

.46

c)

.25

d)

.21

5.

100 people were surveyed. 54 were female, and 46 were male. 33 of the females said they were democrats, and 30 of the males said they were republicans. If a person is randomly selected, what is the probability a male is chosen GIVEN THAT its a republican?

a)

.59

b)

.65

c)

.35

d)

.41

6.

The probability of a tourist visiting an area cave is .7, and of a tourist visiting a nearby park is .6. The probability of visiting both places on the same day is .4. The probability that a tourist visits at least one of these two places is:

a)

.08

b)

.28

c)

.42

d)

.9

7.

A bicycle shop equips 60% of its bikes with a water bottle holder, and 55% of its bikes are equipped with a kick stand. 34% of the bikes have both features. What is the probability that a randomly chosen bike has a kick stand GIVEN THAT it has a water bottle holder?

a)

34%

b)

56.7%

c)

61.8%

d)

81%

8.

A recent survey suggests that 85% of college students have posted a profile on Facebook, 73% use YouTube regularly, and 66% of do both. What is the probability that a randomly selected student uses YouTube regularly given that they have a Facebook profile.

a)

.776

b)

.904

c)

.859

d)

.824

9.

The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a letter that is a vowel?

a)

8/121

b)

4/11

c)

2/11

d)

4/121

10.

The collection of all possible outcomes of a random phenomenon is called

a)

a list

b)

a complement

c)

a sample space

d)

an event

11.

If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?

a)

4/52

b)

4/13

c)

16/52

d)

1/13

12.

If you draw one card from a standard deck, what is the probability of drawing a spade or a red card?

a)

13/52

b)

26/52

c)

39/52

d)

Not possible

13.

P(Pizza ∩ Water) =

a)

62/182

b)

120/400

c)

58/400

d)

140/400

14.

There are 10 red marbles and 8 green marbles in a jar. If you take three marbles from the jar (without replacement), the probability that they are all red is:

a)

0.069

b)

0.088

c)

0.147

d)

0.171

15.

A fair coin has come up "heads" 10 times in a row. The probability that the coin will come up heads on the next flip is:

a)

greater than 50%, it's due to happen.

b)

50%

c)

less than 50%, since tails is happening so much.

d)

Can't be determined

16.

Given the following VENN Diagram answer the following.

P( A | B )

a)

2

b)

.4

c)

.6

d)

.8

17.

A box contains 20 marbles. 10 are white, 6 are red, 3 are blue, and 1 is green. What is the probability of choosing a white then a red without replacement?

a)

60 / 380

b)

60 / 400

c)

16 / 39

18.

In how many ways can a town elect 4 candidates to a planning board from a field of 12 candidates?

a)

12P4

b)

12C4

c)

12!

d)

4!

19.

In how many ways can 5 people be seated on a bench?

a)

110

b)

120

c)

100

d)

25

20.

In how many ways can a 4-card combination of 2 aces and 2 face cards be drawn from a standard deck of cards?

a)

6

b)

66

c)

396

d)

16

21.

How many combinations of 3 books be chosen from 12 books available in the library?

a)

220

b)

36

c)

1320

d)

.25

22.

If draw two cards without replacement from a standard deck of cards. What is P(king and four)?

a)

.078

b)

.077

c)

.006

d)

.015

23.

What is the probability that I choose a part that is from supplier A and is Good?

a)

.693

b)

.524

c)

.238

d)

.127

24.

A bottle contains 1 green and 1 red ball. A ball is drawn at random, replaced in the bottle and another ball is drawn. Find the sample space from the tree diagram shown.

a)

GR, RG, RR

b)

GG, RR

c)

GG, GR, RR

d)

GG, GR, RG, RR

Statistics Review Ch5

Total questions: 24

Worksheet time: 38mins

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