Quiz about Probability Study Guide

Question 1

A laundry basket has 24 t-shirts in it. Four are navy, 12 are red, and the remaining are white. What is the probability of choosing a red shirt at random?

Accepted Answer

1/2

Answer

1/3

Answer

1/4

Answer

1/6

Question 2

A laundry basket has 24 t-shirts in it. Four are navy, 12 are red, and the remaining are white. What is the probability of choosing a white shirt at random?

Accepted Answer

1/3

Answer

1/2

Answer

2/3

Answer

1/4

Question 3

A laundry basket has 24 t-shirts in it. Four are navy, 12 are red, and the remaining are white. What is the probability of choosing a green shirt at random?

Accepted Answer

0

Answer

1/6

Answer

1/4

Answer

1/3

Question 4

What is the theoretical probability of selecting the name Joey from the hat?

Accepted Answer

1/4

Answer

1/2

Answer

1/3

Answer

1/5

Question 5

Based on the results in the table, what is the experimental probability of selecting the name Alex?

Accepted Answer

2/5

Answer

1/2

Answer

1/4

Answer

1/3

Question 6

At a school assembly, four out of the first 10 students were wearing spirit wear. Based on this information, if 500 students were at the assembly, then how many students could be expected to have on spirit wear?

Accepted Answer

200

Answer

100

Answer

250

Answer

400

Question 7

Each spinner shown below will be spun one time. Which of the following tree diagrams shows all of the possible outcomes when each spinner is spun once?

Accepted Answer

Diagram A

Answer

Diagram B

Answer

Diagram C

Answer

Diagram D

Question 8

Joy can choose to ride the bus, the subway, or take a taxi to travel to work on Monday and Tuesday. Which list shows all the possible outcomes of one day and one method of travel?

Accepted Answer

Monday, Bus; Monday, Subway; Monday, Taxi; Tuesday, Bus; Tuesday, Subway; Tuesday, Taxi

Answer

Monday, Bus; Tuesday, Taxi; Monday, Subway; Tuesday, Bus; Monday, Subway; Tuesday, Taxi

Answer

Bus, Taxi; Bus, Subway; Taxi, Bus; Taxi, Subway; Subway, Taxi; Subway, Bus

Answer

Monday, Bus; Monday, Subway; Monday, Tuesday; Tuesday, Bus; Tuesday, Subway; Tuesday, Monday

Question 9

The airport security randomly selected 24 suitcases from in the security line. Of these bags, they screened 7 suitcases. Based on this information, what is the most reasonable prediction for the number of suitcases they will screen in a group of 144?

Accepted Answer

42

Answer

24

Answer

36

Answer

48

Question 10

Bills are due on the 32nd of the month. What is the likelihood of this event occurring?

Accepted Answer

Impossible

Answer

Certain

Answer

Likely

Answer

Unlikely

Question 11

If you do your homework, your grades will improve. What is the likelihood of this event occurring?

Accepted Answer

Likely

Answer

Impossible

Answer

Unlikely

Answer

Certain

Question 12

Scoring a touchdown will result in 6 points. What is the likelihood of this event occurring?

Accepted Answer

Certain

Answer

Impossible

Answer

Unlikely

Answer

Likely

Question 13

There are three different colored candies: red, green, and white. The probability of selecting a red candy is 2/5, and the probability of selecting a green candy is 1/4. What is the probability of selecting a white candy?

Accepted Answer

7/20

Answer

1/2

Answer

1/4

Answer

2/5

Question 14

The weather report says there is a 30% chance of rain. What is the probability that it does not rain?

Accepted Answer

70%

Answer

30%

Answer

50%

Answer

20%

Question 15

The numbers 1-12 are written on a card and placed in a bag. What is the probability that a number divisible by 3 is drawn? What represents its complement?

Accepted Answer

1/3, 2/3

Answer

1/2, 1/2

Answer

1/4, 3/4

Answer

2/3, 1/3

Question 16

In the movie drawer, there are seven action movies, five comedies, and three dramas. What is the probability of choosing an action or a comedy?

Accepted Answer

4/5

Answer

1/2

Answer

2/3

Answer

3/5

Question 17

A basket of beads contains 8 red beads, 6 yellow beads, and 6 green beads. A bead will be drawn from the basket and replaced 60 times. What is a reasonable prediction for the number of times a green bead is drawn?

Accepted Answer

18 green beads

Answer

12 green beads

Answer

24 green beads

Answer

30 green beads

Question 18

A bag contains a total of 100 black and white marbles. Without looking, a marble is chosen, recorded, and placed back in the bag. A student records drawing 8 black marbles and 2 white marbles. Predict the number of black marbles in the bag.

Accepted Answer

80 black marbles

Answer

20 black marbles

Answer

50 black marbles

Answer

90 black marbles

Question 19

At a water park, rides are labeled based on the number of minutes riders wait in line. What is the likelihood of selecting a ride with a wait time less than 30 minutes, as compared to a ride with a wait of 30 minutes or more?

Accepted Answer

Selecting a ride with a wait less than 30 minutes is one-fifth as likely.

Answer

Selecting a ride with a wait less than 30 minutes is twice as likely.

Answer

Selecting a ride with a wait less than 30 minutes is equally likely.

Answer

Selecting a ride with a wait less than 30 minutes is three times as likely.

Question 20

At a water park, rides are labeled based on the number of minutes riders wait in line. What is the likelihood of selecting a ride with a wait time greater than 45 minutes, as compared to a ride with a wait time less than 30 minutes?

Accepted Answer

Selecting a ride with a wait greater than 45 minutes is twice as likely.

Answer

Selecting a ride with a wait greater than 45 minutes is one-fifth as likely.

Answer

Selecting a ride with a wait greater than 45 minutes is equally likely.

Answer

Selecting a ride with a wait greater than 45 minutes is half as likely.

Question 21

The list below shows the different choices of pizza at the local pizza shop: Pepperoni: 11, Supreme: 7, Cheese: 6, Hawaiian: 3. Based on these results, what is the theoretical probability of choosing a Hawaiian pizza?

Accepted Answer

1/9

Answer

1/4

Answer

1/5

Answer

1/7

Question 22

Each week in the library, Mrs. Hoskins features popular books in the display. This week includes: 3 mystery books, 4 biographies, 6 sci-fi books, 2 dystopian society books. Jack randomly chooses one book to read. What is the theoretical probability that it is a biography?

Accepted Answer

4/15

Answer

2/15

Answer

3/15

Answer

5/15

Question 23

A bag of marbles includes only green and red marbles. The results of an experiment are shown in the table below. What is the experimental probability of selecting a green marble?

Accepted Answer

7/10

Answer

5/10

Answer

6/10

Answer

8/10

Question 24

A bag of marbles includes only green and red marbles. The results of an experiment are shown in the table below. What is the experimental probability of selecting a red or a green marble?

Accepted Answer

100%

Answer

50%

Answer

70%

Answer

90%

Question 25

How many total choices does a student have if a school requires students to wear uniforms and they can choose from the following options: HOODIE (GRAY, NAVY, MAROON, BLACK), POLO (NAVY, WHITE), and PANTS (KHAKI, NAVY)?

Accepted Answer

16

Answer

8

Answer

10

Answer

12

Question 26

What is the probability that four coins all land on heads when flipped?

Accepted Answer

1/16

Answer

1/8

Answer

1/4

Answer

1/2

Question 27

If one card from a deck of cards is selected, replaced, and another card is chosen, what is the probability that the first card is a black card and the second is a red card?

Accepted Answer

1/4

Answer

1/2

Answer

1/8

Answer

1/16

Question 28

The letters of the alphabet (26 total letters) are written on cards and placed in a brown paper bag. What is the probability of drawing a consonant (21 letters are consonants), replacing it, and then drawing a Z?

Accepted Answer

21/676

Answer

1/26

Answer

1/52

Answer

13/676

Question 29

Daniel drew a toy from the treasure chest with 25 different toys. He selected a bouncy ball, replaced it, and then selected the bouncy ball again. What is the probability that this could occur?

Accepted Answer

1/625

Answer

1/50

Answer

1/25

Answer

1/100

Question 30

A coin is flipped, and a standard number cube is rolled. What is the sample space for the coin landing on tails and rolling an odd number?

Accepted Answer

T, 1; T, 3; T, 5

Answer

T, 2; T, 4; T, 6

Answer

H, 1; H, 3; H, 5

Answer

H, 2; H, 4; H, 6

Question 31

Derek is selecting a sock from his drawer. He chooses a sock at random and then randomly selects a second sock. What is the probability that Derek selected a striped sock both times?

Accepted Answer

1/15

Answer

2/15

Answer

1/6

Answer

1/9

Question 32

A box of granola bars contains 3 chocolate chip bars, 2 peanut butter bars, 1 lemon bar, and 4 raisin bars. Iesha will randomly select a granola bar from the box and then select another bar. What is the probability that the first bar Iesha selects will be lemon and the second will be raisin?

Accepted Answer

2/45

Answer

1/10

Answer

1/9

Answer

1/45

Question 33

The spinner below is spun twice. What is the probability of the arrow landing on a diamond and then a triangle?

Accepted Answer

4/49

Answer

1/8

Answer

2/25

Answer

1/16

Question 34

A school requires students to wear uniforms. They can choose from the following options. If a student randomly selects one item from each clothing category, then what is the probability they will be wearing all navy? HOODIE: GRAY, NAVY POLO: NAVY, WHITE, MAROON, BLACK PANTS: KHAKI, NAVY

Accepted Answer

1/16

Answer

1/8

Answer

1/12

Answer

1/10

Question 35

What is the probability of randomly selecting an odd number from the numbers 1 - 15?

Accepted Answer

8/15

Answer

7/15

Answer

1/2

Answer

5/15

Question 36

Twelve students have an equally likely chance of being selected in a drawing at school. Eight are 7th graders and four are 8th graders. What is the probability that an 8th grader will be selected?

Accepted Answer

1/3

Answer

1/2

Answer

1/4

Answer

2/3

Question 37

Marty can go to one movie on either Friday or Saturday. He will be able to choose either a comedy or an action movie. Which list shows all the possible outcomes of one movie on one day?

Accepted Answer

Comedy, Friday; Comedy, Saturday; Action, Friday; Action, Saturday

Answer

Comedy, Action; Action, Comedy; Friday, Saturday; Saturday, Friday

Answer

Action, Friday; Action, Saturday

Answer

Comedy, Friday; Action, Friday

Question 38

A coin is flipped, and a standard number cube is rolled. How many possible outcomes are there?

Accepted Answer

12 outcomes

Answer

6 outcomes

Answer

8 outcomes

Answer

10 outcomes

Question 39

In a game, the player wins if he rolls a 4 on a number cube. If the number cube is rolled 24 times, what is a reasonable prediction for the number of unsuccessful rolls?

Accepted Answer

20

Answer

4

Answer

8

Answer

12

Question 40

A health study of 540 adults found that only 7 in 20 adults get enough sleep each night. Based on the results of the sample, how many adults got enough sleep?

Accepted Answer

189

Answer

27

Answer

35

Answer

202

Question 41

Two coins are flipped. What is the probability that both coins land on heads?

Accepted Answer

1/4

Answer

1/2

Answer

1/3

Answer

1/6

Question 42

At a school assembly, 3 out of the first 10 students were wearing spirit wear. Based on this information, if 400 students were at the assembly, then how many students could be expected to have on spirit wear?

Accepted Answer

120

Answer

100

Answer

150

Answer

200

Question 43

There are five marbles in a bag. Three are green and two are yellow. You draw a marble, replace it, and then draw another. What is the probability of choosing two yellow marbles?

Accepted Answer

4/25

Answer

2/5

Answer

1/5

Answer

3/25

Question 44

Two number cubes are rolled sequentially. What is the probability that the first number cube shows a five and the other number cube shows an even number?

Accepted Answer

1/12

Answer

1/6

Answer

1/18

Answer

1/36

Question 45

There are five candies in a bag. Three are chewy, and two are chocolate. You draw a candy, do not replace it, and then draw another. What is the probability of choosing two chocolate candies?

Accepted Answer

1/10

Answer

1/5

Answer

2/5

Answer

2/10

Question 46

The letters in the word AUGUST are placed in a bag. What is the probability of selecting a U?

Accepted Answer

1/3

Answer

1/2

Answer

1/4

Answer

1/6

Question 47

The spinner below is spun once. What is the probability of not landing on a heart?

Accepted Answer

5/7

Answer

2/7

Answer

3/7

Answer

4/7

Question 48

Daniel is going to randomly select a sock from his drawer containing the socks shown below. If Daniel does this 60 times, what is a reasonable prediction for the number of times he will get a striped sock?

Accepted Answer

15

Answer

10

Answer

12

Answer

20

Question 49

Based on the results below, if 189 pizzas were sold by the end of the day, how many pizzas could be expected to be cheese? Pepperoni: 11 Supreme: 7 Cheese: 6 Hawaiian: 3

Accepted Answer

42 cheese pizzas

Answer

36 cheese pizzas

Answer

54 cheese pizzas

Answer

28 cheese pizzas

Question 50

Michael has a set of five cards numbered 1 to 5. He will randomly select a card, not replace it, and then select another card. What is the probability that he selects a prime number and then a 1?

Accepted Answer

3/20

Answer

1/5

Answer

1/10

Answer

1/4

Question 51

A soccer team has 8 yellow pinnies, 3 orange pinnies, and 6 red pinnies. A team member is going to randomly select a pinnie from the bag. Which of the following statements is not true?

Accepted Answer

It is likely that the pinnie will be orange.

Answer

It is more likely that the pinnie will be yellow than red.

Answer

It is twice as likely that the pinnie is red than orange.

Answer

It is half as likely that the pinnie is orange than red.

Question 52

Mr. Jeffrey has 12 coins that include dimes, pennies, and quarters. Mr. Jeffrey will randomly select a coin. Which of the following statements is true?

Accepted Answer

Mr. Jeffrey is twice as likely to select a penny or quarter as a dime.

Answer

The probability of Mr. Jeffrey selecting a quarter is 1/5.

Answer

It is unlikely that Mr. Jeffrey will select a penny.

Answer

The probability of Mr. Jeffrey selecting a dime is half as likely as selecting a penny.

Question 53

Amos is going to randomly select a donut from a box containing glazed, filled, and sprinkled donuts. Two statements are made: I. Amos is three times as likely to select a filled donut than a glazed donut. II. Amos is equally likely to select a filled or sprinkled donut as a glazed donut. Which statement(s) are true?

Accepted Answer

II only

Answer

I only

Answer

I and II

Answer

Neither I or II

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