Quiz about Fundamental Principle of Counting

Question 1

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

Accepted Answer

80

Answer

15

Answer

40

Answer

10

Question 2

At  a New Car Dealership a particular model 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?

Accepted Answer

60

Answer

180

Answer

23

Answer

12

Question 3

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?

Accepted Answer

192

Answer

32

Answer

40,320

Answer

51,200

Question 4

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?

Accepted Answer

270

Answer

30

Answer

17

Answer

90

Question 5

The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?

Accepted Answer

12 because 2 x 3 x 2

Answer

7 because 2 + 3 + 2

Question 6

A seven-question quiz has 4 true/false questions followed by 3 multiple choice questions. For each multiple choice question there are four possible answers. In how many different ways is it possible to answer the seven questions?

Accepted Answer

1024

Answer

12

Answer

80

Answer

28

Question 7

An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream.  A customer gets to choose a cone and a type of ice cream.   How many events are described here?

Accepted Answer

2

Answer

1

Answer

3

Answer

93

Question 8

If you draw a random card from a standard deck of cards, how many possible outcomes?

Accepted Answer

52

Answer

13

Answer

26

Answer

54

Question 9

If you roll two dice, how many possible outcomes?

Accepted Answer

36

Answer

360

Answer

1

Answer

12

Question 10

Which method of finding the total outcomes of an event allows you to see all possible outcomes?

Accepted Answer

tree diagram

Answer

fundamental counting principle

Answer

experimental probability

Answer

theoretical probability

Question 11

Find the total number of outcomes for picking a day of the week and a month of the year.

Accepted Answer

84

Answer

19

Answer

60

Answer

210

Question 12

The cafeteria is serving three kinds of sandwiches: tuna (T), chicken, (C), and peanut butter (P). They are also serving a choice of two drinks: milk (M) or water (W). Which shows the complete set of possible combinations?

Accepted Answer

TW, TM, CW, CM, PW, PM

Answer

TW, CW, PW

Answer

TW, TM, TC, CW, PW

Answer

TCP, MW

Question 13

The tree diagram shows the outcomes of rolling a die and flipping a coin.
How many total outcomes are there?

Accepted Answer

12

Answer

6

Answer

24

Answer

36

Question 14

The letters A, B, C, and D are used to form four-letter passwords for entering a computer file. How many passwords are possible if letters can be repeated?

Accepted Answer

4 x 4 x 4 x 4 = 256

Answer

4 x 3 x 2 x 1 = 24

Answer

4 + 4 + 4 + 4 = 16

Answer

4 + 3 + 2 + 1 = 10

Question 15

How many license plates consisting of three letters followed by three numbers are possible when no repetition is allowed?

Accepted Answer

26 x 25 x 24 x 10 x 9 x 8 = 11232000

Answer

26 x 26 x 26 x 10 x 10 x 10 = 17576000

Answer

26 x 25 x 24 x 9 x 8 x 7 = 7862400

Answer

26 x 26 x 26 x 9 x 9 x 9 = 12812904

Question 16

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

Accepted Answer

80

Answer

15

Answer

40

Answer

10

Question 17

What is the probability of spinning green?

Accepted Answer

1/4

Answer

1/3

Answer

1/2

Answer

3/11

Question 18

The letters that form the word MATHEMATICS are placed individually in a bowl. When selecting a letter from the bowl, what is the probability of choosing a vowel?

Accepted Answer

4/11

Answer

16/121

Answer

3/11

Answer

5/11

Question 19

Find P(diamond or face card)?

Accepted Answer

11/26

Answer

25/52

Answer

3/52

Answer

21/52

Question 20

Berry rolls two number cubes. What is the probability that the sum of the two number cubes will be less than 5?

Accepted Answer

1/6

Answer

1/4

Answer

1/12

Answer

1/9

Question 21

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

Accepted Answer

8/11

Answer

2/5

Answer

4/25

Answer

3/11

Question 22

Ben has a basket of 5 red balls, 3 yellow balls, and 2 green balls. What is the probability that the probability he randomly chooses will be red?

Accepted Answer

1/2

Answer

1/5

Answer

1/10

Answer

5/8

Question 23

A bag of marbles has 8 red marbles and 6 purple marbles. Jennifer will randomly select 1 marble from the bag. What is the probability that she will select a purple marble?

Accepted Answer

3/7

Answer

6/8

Answer

3/4

Answer

6/14

Question 24

A bag of candy contains 2 packs of Skittles, 4 Twizzlers, and 10 Reese's cups. What is the probability of reaching into the bag and choosing either a pack of Skittles or a Reese cup?

Accepted Answer

3/4

Answer

1/4

Answer

3/8

Answer

1/8

Question 25

An ice cream parlor has six different flavors. They have 4 toppings and 2 types of cones. How many possible ice cream combinations are there?

Accepted Answer

48

Answer

24

Answer

6

Answer

12

Question 26

Look at the dartboard.
A boy is playing darts with his friends. What is the probability that his dart will land in an unshaded square?

Accepted Answer

12/25

Answer

13/25

Answer

10/25

Answer

11/25

Question 27

Probability is ...

Accepted Answer

the chance that some event will occur.

Answer

a game that involves coins.

Answer

a guarantee.

Question 28

Experimental Probability is:

Accepted Answer

What actually happens

Answer

What Will happen

Answer

What should happen

Answer

What I think Happens

Question 29

What is an outcome?

Accepted Answer

The result of an experiment

Answer

The chance or likelihood of an event

Answer

A fraction, decimal, or a percent

Answer

An activity that gives various results

Question 30

Experimental Probability is:

Accepted Answer

What actually happens

Answer

What Will happen

Answer

What should happen

Answer

What I think Happens

Fundamental Principle of Counting

30 questions

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

At a New Car Dealership a particular model 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?

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?

The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?

A seven-question quiz has 4 true/false questions followed by 3 multiple choice questions. For each multiple choice question there are four possible answers. In how many different ways is it possible to answer the seven questions?

An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream. A customer gets to choose a cone and a type of ice cream. How many events are described here?

If you draw a random card from a standard deck of cards, how many possible outcomes?

If you roll two dice, how many possible outcomes?

Which method of finding the total outcomes of an event allows you to see all possible outcomes?

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