Quiz about Basic Probability and Counting

Question 1

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

Accepted Answer

60

Answer

12

Answer

15

Question 2

Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?

Accepted Answer

42

Answer

23

Answer

840

Answer

3,628,800

Question 3

Picking a President, Vice-President, and Secretary from a group of 12.

Accepted Answer

Permutation

Answer

Combination

Question 4

What is the value of 5!

Accepted Answer

120

Answer

25

Answer

15

Answer

720

Question 5

9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

Accepted Answer

362,880

Answer

45

Answer

90

Question 6

How many ways ways can you arrange the letters in the word math?

Accepted Answer

24

Answer

15

Answer

4

Question 7

What does the P stand for in _nP_r?

Accepted Answer

Permutations

Answer

Partners

Answer

Positions

Answer

Papers

Question 8

Determine whether the following scenarios are a permutation or a combination:

Selecting a lead and an understudy for a school play.

Accepted Answer

Permutation

Answer

Combination

Question 9

Choosing 3 toppings for your sundae out of a list of 15.

Accepted Answer

Combination

Answer

Permutation

Answer

Neither

Question 10

In how many ways can 3 different vases be arranged on a tray?

Accepted Answer

6

Answer

3

Answer

9

Answer

12

Question 11

7P2

Accepted Answer

42

Answer

0

Answer

7

Answer

210

Question 12

Sarah plays softball over the summer.  If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

Accepted Answer

3628800

Answer

1

Answer

100

Answer

1814400

Question 13

The word "arrange" usually refers to

Accepted Answer

Permutation

Answer

Combination

Answer

Probability

Answer

Counting

Question 14

The word "selection" usually refers to

Accepted Answer

Combination

Answer

Permutation

Answer

Probability

Answer

Counting

Question 15

Permutation is the situation when

Accepted Answer

A different result occurs when positions of objects are switched

Answer

The same result occurs when positions of objects are switched

Answer

counting principles are applied

Answer

I don't know

Question 16

When do we use the formula "nPr"?

Accepted Answer

Permutation. All objects distinct

Answer

Permutation. Some identical objects

Answer

Arranging people in a row

Answer

Forming a group of r objects

Question 17

Suppose I have the alphabets "A,A,B,B,B,C,D,D,E". When applying "nCr", n = ____ ?

Accepted Answer

5

Answer

9

Answer

3

Answer

7

Question 18

Which best describes the "complement" method?

Accepted Answer

Number of ways in general - Number of ways opposite from question

Answer

Number of ways opposite from question

Answer

Forming cases

Answer

Insert objects in between 2 other objects

Question 19

I want to arrange 5 people in a row out of a class of 10 people. Number of ways =

Accepted Answer

10P5

Answer

10C5

Answer

10!/(5!)

Answer

10!-5!

Question 20

I want to arrange the letters A,A,A,B,B,C,D,E in a row with same alphabets together. Which of the following is the working for the number of arrangements?

Accepted Answer

5!

Answer

5!*3!*2!

Answer

8!/(3!*2!)

Answer

8!

Question 21

I want to arrange 5 boys and 5 girls together such that the same gender are together. The number of ways =

Accepted Answer

2!*5!*5!

Answer

2!

Answer

10!

Answer

10!-(5!*5!)

Question 22

I have 5 boys and 5 girls. I want to form a team of 4 people with less than 2 boys. Which of the following are the correct case(s)?

Accepted Answer

0B 4G, 1B 3G

Answer

0B 4G, 1B 3G, 2B 2G

Answer

2B 2G, 3B 1G, 4B 0G

Answer

2B 2G

Question 23

The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?

Accepted Answer

{-4, -3, -2, -1, 1, 2, 3, 4}

Answer

{-4, -3, -2, -1, 0, 1, 2, 3}

Answer

{-3, -2, -1, 1, 2, 3}

Answer

{-4, -3, -2, -1, 1, 2, 3}

Question 24

From the above Venn diagram, what is the set S' ? Look at ALL of the Universal set called "U."

Accepted Answer

{jade, glen, blair, erin, francis, ira}

Answer

{casey, drew}

Answer

{blair, francis, glen, jade}

Answer

{blair, erin, francis, ira}

Question 25

How many students do not ski or ice skate?

Accepted Answer

16

Answer

10

Answer

22

Answer

28

Question 26

How many students do not snowboard?

Accepted Answer

28

Answer

21

Answer

22

Answer

29

Question 27

What does the shaded region of the Venn diagram represent?

Accepted Answer

Only P and S

Answer

P or S

Answer

Only P or S

Answer

P and S

Question 28

What statement does the shaded region represent?

Accepted Answer

B and C

Answer

A and B and C

Answer

A or B and C

Answer

A or C

Question 29

What statement does the shaded region represent?

Accepted Answer

A or B

Answer

A or B and C

Answer

Not C

Answer

B and C or A

Question 30

What is the answer to the question in the image?

Accepted Answer

29

Answer

18

Answer

20

Answer

25

Question 31

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?

Accepted Answer

1/10

Answer

3

Answer

3/10

Answer

30%

Question 32

The probability of an event occurring, P(A), can be expressed as a fraction, decimal, or percent.

Accepted Answer

True

Answer

False

Question 33

If an event has a probability of 0, then it is...

Accepted Answer

impossible

Answer

certain

Answer

equally likely as unlikely

Answer

small chance

Question 34

If an event has a probability of 1, then it is...

Accepted Answer

certain

Answer

impossible

Answer

equally likely as unlikely

Answer

very close to certain.

Question 35

If two Events A and B are independent in relation, then P(B|A) =

Accepted Answer

P(B)

Answer

P(A)

Answer

P(A|B)

Answer

P(A and B)

Question 36

Two Events that have no outcomes in common are called...

Accepted Answer

Disjoint (Mutually Exclusive)

Answer

Overlapping

Answer

Independent

Answer

Dependent

Question 37

This type of probability involves collecting data in the real word

Accepted Answer

Experimental (Empirical)

Answer

Theoretical (Classical)

Answer

Subjective

Answer

None of these

Question 38

What is the probability that a person selected at random from this data set drives a sports car, given that they are female?

Accepted Answer

25%

Answer

53.6%

Answer

18.8%

Answer

11%

Question 39

In a room there are five freshmen, three sophomores, four juniors and six seniors.
If you pick two different people from this room at random, what is the probability that they are both juniors?

Accepted Answer

0.0392

Answer

0.0494

Answer

0.4444

Answer

0.3987

Question 40

The fire company sells 200 raffle tickets each year, only one of which is the winner.
If you buy a ticket from the fire company every year for the next 10 years, what is the probability that you will win this raffle at least once?

Accepted Answer

0.0489

Answer

0.05

Answer

0.0951

Answer

0.01

Question 41

There are 13 students in a room. A trial consists of picking four different students at random.
According to the Fundamental Counting Principle, how many outcomes does this trial have, respective of order?

Accepted Answer

17,160

Answer

28,561

Answer

52

Answer

67,108,864

Question 42

There is a 7% probability of a major earthquake in Japan this year. If a major earthquake does occur, the probability that there will be another major earthquake next year falls to 5%.
However, if a major earthquake does not occur this year, the probability of a major earthquake next year rises to 9%.
What is the probability that there will be exactly one major earthquake in Japan in the next two years?

Accepted Answer

15.02%

Answer

2.04%

Answer

86.35%

Answer

84.63%

Question 43

In a room of 21 people, 12 are boys and 9 are girls. What are the odds in favor of picking a boy?

Accepted Answer

4:3

Answer

4:7

Answer

3:4

Answer

7:4

Question 44

Probability is ...

Accepted Answer

the chance that some event will occur.

Answer

a game that involves coins.

Answer

a guarantee.

Basic Probability and Counting

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics