Free Printable AP Stats Test 5 Review

1.

In an AP Statistics class, 57% of students eat breakfast in the morning, 80% of them floss their teeth, and 46% of the students do both. What is the probability that a randomly chosen student eats breakfast but does not floss their teeth?

a)

9%

b)

11%

c)

34%

d)

91%

2.

In an AP Statistics class, 57% of students eat breakfast in the morning, 80% of them floss their teeth, and 46% of the students do both. What is the probability that a randomly chosen student eats breakfast or flosses their teeth?

a)

91%

b)

9%

c)

11%

d)

34%

3.

Five juniors and four seniors have applied for two open student council positions, and administrators have decided to pick two new members randomly. What is the probability that they are both from the same grade?

a)

.395

b)

.444

c)

.506

d)

.569

4.

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

5.

According to the National Telecommunication and Information Administration, 50.5% of U.S. households had internet access in 2001. What is the probability that four randomly selected U.S. all had internet access in 2001?

a)

6.5%

b)

12.6%

c)

49.5%

d)

50.5%

6.

Pepsi is running a sales promotion in which 12% of all bottles have a "FREE" logo under the cap. If you buy a 6-pack of bottles, what is the probability that you will find at least 1 "FREE" logo?

a)

.464

b)

.536

c)

.12

d)

0

7.

Political analysts estimate the probability that Hillary Clinton will run for president in 2008 is 45%, and the probability that NY's Governor George Pataki will run as the Republican candidate is 20%. If their political decisions are independent, what is the probability that only Hillary runs for president?

a)

9%

b)

11%

c)

25%

d)

36%

8.

An ice cream stand owner reports that 12% of the cones they sell are "JUMBO" size. You want to see what a "JUMBO" cone looks like so you stand and watch the sales for a while. What is the probability that the first "JUMBO" cone is the fourth cone you see them sell?

a)

8%

b)

33%

c)

40%

d)

60%

9.

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%

10.

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

11.

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?

a)

49%

b)

46%

c)

54%

d)

51%

12.

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

13.

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

14.

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

15.

If you flip a coin 2 times, how many possible outcomes are there?

(a)

16.

If you flip a coin 2 times, what's the probability of getting heads exactly one time?

a)

1/4

b)

2/4

c)

3/4

d)

4/4

17.

Is 0.36 a valid probability for an event?

a)

Yes

b)

No

18.

Is 1.6 a valid probability for an event?

a)

Yes

b)

No

19.

What is the probability of getting yellow?

(a)

20.

What is the probability of NOT getting yellow?

(a)

21.

What is the probability of NOT getting orange?

(a)

22.

What is the probability of scoring less than a 5?

(a)

23.

Match the following probabilities:

a)

0

1.

Certain

b)

1

2.

Unlikely

c)

$\frac{1}{2}$

3.

As Likely as Not

d)

between 0 and $\frac{1}{2}$

4.

Likely

e)

between $\frac{1}{2}$ and 1

5.

Impossible

24.

An event with a probability of equally likely as unlikely would be...

a)

0

b)

1/2

c)

2/3

d)

1

25.

What type of probability is a way of estimating the probability of an event happening based on repeated trials?

a)

Experimental Probabillity

b)

Theoretical Probability

26.

What type of probability is used to find the probability of an event when all outcomes are equally as likely. "What COULD happen"

a)

Experimental Probability

b)

Theoretical Probability

27.

The table shows the results of 50 rolls of a number cube. According to the data in the table, what was the experimental probability of rolling a 1?

a)

b)

c)

d)

28.

Theoretical Probability is?

a)

What Should happen

b)

What does happen

c)

What Will Happen

d)

What I want to Happen

29.

Michael, Ronald, Lidia, Alexandra, and Catherine are sharing a basket of fries. The following table shows an incomplete probability model for who will eat the next fry. What is the probability that Ronald will eat the next fry?

30.

Find P(MM)

a)

$\frac{42}{132}$

b)

$\frac{35}{132}$

c)

$\frac{20}{132}$

d)

$\frac{13}{23}$

31.

Find P(MD)

a)

$\frac{42}{132}$

b)

$\frac{35}{132}$

c)

$\frac{20}{132}$

d)

$\frac{13}{23}$

32.

Find P(DM)

a)

$\frac{42}{132}$

b)

$\frac{35}{132}$

c)

$\frac{20}{132}$

d)

$\frac{13}{23}$

33.

Find P(DD)

a)

$\frac{42}{132}$

b)

$\frac{35}{132}$

c)

$\frac{20}{132}$

d)

$\frac{13}{23}$

34.

Find the probability of picking two blue pens

a)

$\frac{56}{90}$

b)

$\frac{16}{90}$

c)

$\frac{64}{100}$

d)

$\frac{15}{90}$

35.

Find the probability of picking a red pen then a blue pen

a)

$\frac{56}{90}$

b)

$\frac{16}{90}$

c)

$\frac{16}{100}$

d)

$\frac{10}{90}$

36.

Find the probability of picking two red pens

a)

$\frac{56}{90}$

b)

$\frac{16}{90}$

c)

$\frac{4}{90}$

d)

$\frac{2}{90}$

37.

Find A, the probability that the first counter is Blue

a)

$\frac{4}{8}$

b)

$\frac{3}{7}$

c)

$\frac{5}{8}$

d)

$\frac{5}{7}$

38.

Find B, the probability that the first counter is Red

a)

$\frac{3}{8}$

b)

$\frac{3}{7}$

c)

$\frac{5}{8}$

d)

$\frac{5}{7}$

39.

Find the probability of selecting two lemon sweets

a)

$\frac{10}{18}$

b)

$\frac{25}{81}$

c)

$\frac{16}{81}$

d)

$\frac{20}{81}$

40.

Find the probability of selecting two strawberry sweets

a)

$\frac{10}{18}$

b)

$\frac{25}{81}$

c)

$\frac{16}{81}$

d)

$\frac{20}{81}$

41.

Find P(SL)

a)

$\frac{10}{18}$

b)

$\frac{25}{81}$

c)

$\frac{16}{81}$

d)

$\frac{20}{81}$

42.

Find P(LL)

a)

0.1

b)

0.01

c)

0.2

d)

0.02

43.

Find P(OL)

a)

0.9

b)

0.09

c)

1.0

d)

0.81

44.

Find P(OO)

a)

0.9

b)

0.81

c)

0.18

d)

0.081

45.

Weighted probability trees are a way to visualize the...

a)

Addition Rule

b)

Multiplication Rule

c)

Range Rule

d)

Cheyshev Inequality

46.

A fair coin is flipped four times. What is the probability of seeing at least one head?

a)

0.9375

b)

0.0625

c)

0.75

d)

0.25

47.

What is the probability that Matt and Thomas both score?

a)

0.42

b)

0.6

c)

0.12

d)

0.54

48.

What is the probability that Matt or Thomas scores?

a)

0.12

b)

0.88

c)

0.42

d)

0.5

49.

Here is a partially completed probability tree showing the probability of winning on a Teddy Grabber and a Penny Drop.

What is the probability of losing both games?

a)

$\frac{6}{15}$

b)

$\frac{3}{5}$

c)

$\frac{3}{15}$

d)

None of these

50.

What is the probability of winning exactly one game?

a)

$\frac{3}{15}$

b)

$\frac{13}{15}$

c)

$\frac{7}{15}$

d)

None of these

51.

There are 5 lemon and 4 strawberry sweets in a bag.

Hailey takes out a sweet at random, writes down its flavour and puts it back into the bag.

Then Hailey takes out a second sweet, at random, and writes down its flavour.

What is the probability that Hailey took out at least one strawberry sweet?

a)

$\frac{25}{81}$

b)

$\frac{40}{81}$

c)

$\frac{56}{81}$

d)

None of these

52.

A fair coin is tossed three times. What are all the possible outcomes? How many total outcomes are possible?

(a)

53.

You pick a card out of a standard deck and record the color. The sample space is (a)

Choose from the below words

Read, Black

1,2,3,4,5,6,7,8,9,10

J, Q, K, A

Red, Black

1-52

54.

Match to the correct sample space.

a)

{H, T}

1.

Flipping a coin and recording the outcome

b)

{1T,1H,2T,2H,3T,3H, 4T,4H,5T,5H,6T,6H}

2.

Flipping a coin and Rolling a Dice and recording the outcomes

c)

{odd,even}

3.

Flipping a coin and recording weather the number is odd or even

d)

{ }

4.

Rolling 3 dice and recording the number of 7's rolled.

e)

{0,1,2,3,4}

5.

Rolling 4 dice and recording the number of 5's I get.

55.

Which shows the sample space for flipping two coins?
H = heads, T = tails

a)

H, T

b)

HH, HT, TH, TT

c)

HH, TT

d)

HH, TT, TT, HH

56.

What is the sample space for this spinner?

a)

1

b)

8

c)

1, 2, 3, 4, 5, 6, 7, 8

d)

50/50

57.

A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

a)

180

b)

23

c)

12

d)

60

58.

What is the sample space?

a)

6 bears

b)

orange, green, red, white, yellow

c)

unlikely

d)

2 red bears

59.

What is sample space?

a)

a process with an uncertain result

b)

a possible result of an action

c)

a list of all possible outcomes of an event

d)

a single outcome or group of outcomes

60.

What is the sample space for the jar of marbles?

a)

red

b)

red, yellow, green, blue

c)

red and yellow

d)

red and green

61.

Andy has a toy box that contains 2 blue race cars, 1 green race car, and 1 red race car. Andy removes 2 race cars from the toy box without looking. If Andy removes a blue car first and does not replace it, which best represents the sample space for the cars Andy removes?

a)

{(blue, green), (blue, red)}

b)

{(blue, blue), (blue, green), (green, red)}

c)

{(blue, blue), (blue, green), (blue, red)}

d)

{(blue, red), (green, red), (blue, blue)}

62.

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

a)

15

b)

40

c)

80

d)

10

63.

What is the probability that a student does not play on a sports team?

a)

.5

b)

.45

c)

.55

64.

a)

.2855

b)

.6246

c)

.0922

d)

.3230

65.

What is the probability of choosing a Honda?

a)

.5970

b)

.5373

c)

.4627

d)

.4030

66.

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

67.

What is the probability that the person picked will be a boy given they speak german?

a)

.7273

b)

.4

c)

.16

d)

.22

68.

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

a)

.525

b)

.4627

c)

.6774

d)

.3143

69.

What is the probability that a student plays an instrument

a)

.55

b)

.5

c)

.45

d)

.4

70.

What is the probability that the person picked will be a boy given they speak german?

a)

.7273

b)

.4

c)

.16

d)

.22

71.

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

a)

2.14

b)

.24

c)

.4

d)

.8571

72.

You draw a marble from a bag that has 4 red, 2 blue, and 3 green, you also flip a fair coin. What is the probability you will draw a blue marble and flip a heads?

a)

1/9

b)

3/9

c)

3/6

d)

5/6

73.

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?

a)

1/12

b)

1/4

c)

1/8

d)

1/2

74.

A letter of the alphabet is chosen at random, then a coin is flipped. What is the probability of choosing a letter from the word MATH then getting tails?

a)

17/26

b)

1/13

c)

5/13

d)

5/26

75.

The outcome of one event does not influence the outcome of the other event.

a)

independent event

b)

tree diagram

c)

simple event

d)

odds

76.

When rolling a single die, the events of rolling an even and an odd number are ...

a)

Mutually Exclusive

b)

Not Mutually Exclusive

77.

If you are picking a card randomly from a deck of cards, the events of picking a jack and picking a heart are ...

a)

Mutually Exclusive

b)

Not Mutually Exclusive

78.

Being Under 12 years old and Being an adult

a)

Mutually Exclusive Events

b)

Not Mutually Exclusive Events

c)

Independent Events

d)

Dependent Events

79.

Throwing two dices. A is the event 'a 6' and B is the event 'a 4 on 1 die'

a)

Mutually Exclusive Events

b)

Not Mutually Exclusive Events

c)

Independent Events

d)

Dependent Events

80.

The gender of your first and second child

a)

Mutually Exclusive Events

b)

Not Mutually Exclusive Events

c)

Independent Events

d)

Dependent Events

81.

Drawing two cards at the same time and getting two clubs

a)

Mutually Exclusive Events

b)

Not Mutually Exclusive Events

c)

Independent Events

d)

Dependent Events

82.

Drawing two cards. A is the event ' a Jack' and B is the event 'a spade'

a)

Mutually Exclusive Events

b)

Not Mutually Exclusive Events

c)

Independent Events

d)

Dependent Events

83.

Drawing a card, replacing it, drawing another card and getting two clubs

a)

Mutually Exclusive Events

b)

Not Mutually Exclusive Events

c)

Independent Events

d)

Dependent Events

84.

Drawing two cards, A is the event 'a spade' and B is the event 'a red card'

a)

Mutually Exclusive Events

b)

Not Mutually Exclusive Events

c)

Independent Events

d)

Dependent Events

85.

Throwing two dice. A is the event 'a sum of 10' and B is the event 'a 6'

a)

Mutually Exclusive Events

b)

Not Mutually Exclusive Events

c)

Independent Events

d)

Dependent Events

86.

Getting an even number on one roll of a die and 5 on a second

a)

Mutually Exclusive Events

b)

Not Mutually Exclusive Events

c)

Independent Events

d)

Dependent Events

87.

Living in Australia and being a stamp collector

a)

Mutually Exclusive Events

b)

Not Mutually Exclusive Events

c)

Independent Events

d)

Dependent Events

88.

The outcome of one event does not influence the outcome of the other event.

a)

independent event

b)

tree diagram

c)

simple event

d)

odds

89.

A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?

a)

Independent

b)

Dependent

90.

Which event is not a dependent event?

a)

Picking 2 students to each be line leader and door holder from a group of 20 students

b)

Picking 2 marbles from a bag without replacing the first marble

c)

Picking 2 crayons from a box at the same time (simultaneously)

d)

Picking an earring, replacing it, then picking a 2nd earring

91.

Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?

a)

1/3

b)

1/2

c)

1/6

d)

1/4

92.

What is the probability of tossing a coin four times and getting tails each time?

a)

1/16

b)

1/8

c)

1/2

d)

1/4

93.

A coin is tossed and a number cube is rolled. Find the probability, P(heads and 7).

a)

1/14

b)

1/2

c)

0

d)

1/7

94.

A letter of the alphabet is chosen at random, then a coin is flipped. What is the probability of choosing a letter from the word MATH then getting tails?

a)

4/26 + 1/2

b)

4/26 x 1/2

c)

4/25 x 1/2

d)

4/25 + 1/2

95.

Let A and B be independent events. If P(A) = 0.5 and P(B) = 0.26, what is P(A and B)

a)

0.52

b)

0.13

c)

0.24

d)

More information is needed to determine this value.

96.

Assume the events A and B are independent events. If P(A and B) = 0.25 and P(A) = 0.4, what is P(B)?

a)

0.65

b)

0.625

c)

0.15

d)

1.6

97.

Given that P(A) = 0.54 and P(B) = 0.21 and P(A and B) = 0.15, determine if the events A and B are independent.

a)

Yes. (0.54)(0.21) does not equal 0.15 which means the events A and B are independent.

b)

Yes, P(A and B) is not zero so the events must be independent.

c)

No. P(A and B) = 0.15 which is not zero so the events are not independent.

d)

No. (0.54)(0.21) = (0.1134) which does not equal the stated value of P(A and B) which means A and B are not independent.

98.

A random survey of 131 high school students was conducted on April 25. The results are shown in the table. Let A = being male and B = have completed ALL DLD assignments for 5 weeks. Are the events independent? Explain.

a)

P(A) = 0.42, P(B) = 0.62, P(A and B) = 0.26

P(A) x P(B) = 0.26 Since P(A) x P(B) = P(A and B), the events are independent.

b)

P(A) = 0.42, P(B) = 0.62, P(A and B) = 0.26

P(A) x P(B) = 0.26 Since P(A) x P(B) = P(A and B), the events are not independent.

c)

This cannot be determined since the number of males surveyed is not equal to the number of females surveyed.

d)

P(A) = 0.42, P(B) = 0.62, P(A and B) = 0.26 and P(A or B) = 0.78 so the events are independent.

99.

Use the probabilities in the Venn Diagram to determine if the events A and B are independent.

a)

A and B are independent because (0.25)(0.6) = 0.15.

b)

A and B are not independent because (0.25)(0.6) = 0.15.

c)

A and B are not indepedent because (0.4)(0.75) = 0.3 not 0.15.

d)

A and B are indepedent because (0.4)(0.75) = 0.3 not 0.15.

100.

Determine if events [A] and [B] are mutually exclusive.

a)

A

b)

B

101.

Determine if events [A] and [B] are mutually exclusive.

a)

A

b)

B

102.

Determine if the scenario involves mutually exclusive events.

a)

A

b)

B

103.

Events [A] and [B] are mutually exclusive. Find the missing probability.

a)

A

b)

B

c)

C

d)

D

104.

Events [A] and [B] are mutually exclusive. Find the missing probability.

a)

A

b)

B

c)

C

d)

D

105.

Find the probability.

a)

A

b)

B

c)

C

d)

D

106.

Determine if events [A] and [B] are independent.

a)

A

b)

B

107.

Determine if events [A] and [B] are independent.

a)

A

b)

B

108.

Events [A] and [B] are independent. Find the missing probability.

a)

A

b)

B

c)

C

d)

D

109.

Events [A] and [B] are independent. Find the missing probability.

a)

A

b)

B

c)

C

d)

D

110.

Determine whether the scenario involves independent or dependent events.

a)

A

b)

B

111.

Find the probability.

a)

A

b)

B

c)

C

d)

D

112.

Jackson pulls a coin out of his pocket and places it on the table. Then he reaches back into his pocket and takes out a second coin.

a)

Dependent clauses

b)

Independent clauses

c)

Dependent events

d)

Independent events

113.

Marie downloads a song from an online service. A few minutes later, a customer in another city searches for a song on the same site.

a)

Dependent events

b)

Independent events

c)

Dependent clauses

d)

Independent clauses

114.

A box contains 3 red marbles, 6 blue marbles and 1 white marble. The marbles are selected 1 at a time and not replaced. Find P(blue and red)

a)

$\frac{1}{6}$

b)

$\frac{1}{5}$

c)

$\frac{1}{4}$

d)

$\frac{1}{9}$

115.

Bag A contains 9 yellow marbles and 3 purple marbles. Bag B contains 9 blue marbles and 6 orange marbles. Find the probability of selecting one purple marble from bag A and one blue marble from bag B.

a)

$\frac{3}{20}$

b)

$\frac{3}{31}$

c)

$\frac{1}{4}$

d)

$\frac{2}{31}$

116.

A jar contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(both marbles are purple)

a)

$\frac{1}{7}$

b)

$\frac{1}{3}$

c)

$\frac{2}{7}$

d)

$\frac{2}{9}$

117.

A box contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(3 whites)

a)

$\frac{1}{30}$

b)

$\frac{1}{31}$

c)

$\frac{2}{31}$

d)

$\frac{2}{33}$

118.

There are seven nickels and six dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then you randomly pick another coin. The first coin is a nickel and the second coin is a dime.

a)

$\frac{7}{26}$

b)

$\frac{6}{27}$

c)

$\frac{5}{27}$

d)

$\frac{7}{27}$

119.

What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?

a)

$\frac{1}{2}$

b)

$\frac{1}{4}$

c)

$\frac{1}{8}$

d)

$\frac{1}{12}$

120.

Which event is not a dependent event?

a)

Picking 2 students to each be line leader and door holder from a group of 20 students

b)

Picking 2 crayons from a box at the same time (simultaneously)

c)

Picking 2 marbles from a bag without replacing the first marble

d)

Picking an earring, replacing it, then picking a 2nd earring

121.

There are six nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. Both times the coin is a nickel.

a)

$\frac{6}{15}$

b)

$\frac{6}{13}$

c)

$\frac{5}{13}$

d)

$\frac{4}{13}$

122.

What is the probability of drawing a King from a deck of cards, putting it back in the deck, shuffling the deck, and then drawing a Jack?

a)

Dependent

b)

Independent

123.

A deck of cards has 2 gold, 3 silver, and 4 gray. you pick two cards from the deck. they are not returned. What is the probability that you pick 2 silver cards in a row?

a)

$\frac{1}{11}$

b)

$\frac{1}{12}$

c)

$\frac{1}{13}$

d)

$\frac{1}{14}$

124.

You have a bag of marbles that include 5 link, 3 yellow and 4 green. You also have a number cube. What is the probability of a choosing a green marble and rolling a prime number?

a)

$\frac{1}{4}$

b)

$\frac{1}{5}$

c)

$\frac{1}{6}$

d)

$\frac{1}{7}$

125.

A deck of cards has 10 pink, 4 white and 1 purple card. You pick 3 cards from the deck. the cards are returned. What is the probability of getting a pink, pink, and white card?

a)

$\frac{16}{135}$

b)

$\frac{16}{136}$

c)

$\frac{16}{137}$

d)

$\frac{16}{138}$

126.

Studying hard, getting a high grade

a)

Dependent

b)

Independent

127.

Eating a lot, gaining weight

a)

Dependent

b)

Independent

128.

Your teacher chooses one student to lead a group, and then chooses another student to lead another group.

a)

Dependent

b)

Independent

129.

You flip heads on one coin and tails on another coin.

a)

Dependent

b)

Independent

130.

You reviewed your Math lessons for your examination and then got 85 as a grade in the examination.

a)

Dependent

b)

Independent

131.

Name of your Student Teacher

(a)

AP Stats Test 5 Review - Probability

Total questions: 131

Worksheet time: 7hrs 5mins

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