Question 1

A set that contains all of the elements that are in at least one of the two events is called _______.

Accepted Answer

Union of Events

Answer

Compound Events

Answer

Dependent Events

Answer

Intersection of Events

Question 2

It is a collection of objects or data wherein the order does not matter.

Accepted Answer

Combination

Answer

Permutation

Answer

Integration

Question 3

A set that contains all of the elements that are in both events is called _______.

Accepted Answer

Intersection of Events

Answer

Dependent Events

Answer

Compound Events

Answer

Union of Events

Question 4

The different possible arrangements of objects in a circle.

Accepted Answer

Circular Permutation

Answer

Union of Events

Answer

Distinguishable Permutation

Answer

Intersection of Events

Question 5

It uses circles to represent sets, in which the relations between the set are indicated by the arrangement of the circles.

Accepted Answer

Venn Diagram

Answer

Combination

Answer

Probability

Answer

Events

Question 6

Refers to the different possible arrangements of a set of objects.

Accepted Answer

Permutation

Answer

Fundamental Counting Principle

Answer

Circular Permutation

Answer

Combination

Question 7

Different arrangements of objects where some of them are alike is called _________.

Accepted Answer

Distinguishable Permutation

Answer

Permutation

Answer

Circular Permutation

Answer

Combination

Question 8

What is independent event?

Accepted Answer

The other event does not influence the other event.

Answer

A set that contains all the elements.

Answer

Have no outcomes in common.

Answer

The occurrence of one of the events affects the other event.

Question 9

What is mutually exclusive events?

Accepted Answer

Have no outcomes in common.

Answer

The other event does not influence the other event.

Answer

A set that contains all the elements.

Answer

The occurrence of one of the events affects the other event.

Question 10

Which of the following defines dependent event?

Accepted Answer

The occurrence of one of the events affects the other event.

Answer

Have no outcomes in common.

Answer

A set that contains all the elements.

Answer

The other event does not influence the other event.

Question 11

Which of the following describes not mutually exclusive events?

Accepted Answer

There are outcomes that are common to events A and B.

Answer

Events that have no outcomes in common.

Answer

Event A affects Event B.

Answer

Event B will occur given that Event A has already occurred.

Question 12

Which of the following situations or activities involve permutation?

Accepted Answer

assigning telephone numbers to subscribers

Answer

picking 2 balls from the basket of 5 balls

Answer

forming a committee from the members of the club

Answer

matching shirts and pants

Question 13

What is P(8, 5)?

Accepted Answer

6720

Answer

336

Answer

1320

Answer

56

Question 14

If a combination lock must contain 5 different digits, in how many ways can a code be formed from the digits 0-9?

Accepted Answer

30,240

Answer

1000

Answer

252

Answer

151,200

Question 15

You wanted to paste the pictures of your classmates in a circle. If he has 12 pictures, in how many ways can you arrange it?

Accepted Answer

39,916,800

Answer

3,628,800

Answer

479,001,600

Answer

132

Question 16

How many possible outcomes are there if a die is rolled and then a coin is flip simultaneously?

Accepted Answer

12

Answer

15

Answer

20

Answer

36

Question 17

How many ways can 5 consolation prize winners be chosen from the 10 contestants?

Accepted Answer

252

Answer

522

Answer

30,240

Answer

30,400

Question 18

Which of the following situations does NOT illustrate combination?

Accepted Answer

Opening a combination lock.

Answer

Collection of stamps.

Answer

Selecting 2 songs from 10 choices for an audition piece

Answer

Selection of members in a group.

Question 19

What is C(12, 4)?

Accepted Answer

495

Answer

11,880

Answer

1,345

Answer

234

Question 20

For numbers 20 to 21: Consider a bowl that contains balls numbered 1 to 25. If a ball is drawn randomly from the bowl, given that Event A is multiples of 4, and Event B is divisible by 3,. What is the A∩B?

Accepted Answer

{12, 24}

Answer

{2, 4}

Answer

{8, 24}

Answer

{16, 24}

Question 21

What is the probability of A∩B?

Accepted Answer

2/25

Answer

6/25

Answer

3/25

Answer

4/25

Question 22

For numbers 22 to 23: There are 5 red pens, 6 black pens, and 4 blue pens in a bag. Suppose you are to choose a pen at random; What is the probability that the pen chosen is red or blue?

Accepted Answer

3/5

Answer

10/15

Answer

2/5

Answer

4/5

Question 23

What is the probability that the pen chosen is red or not black?

Accepted Answer

3/5

Answer

2/5

Answer

2/3

Answer

9/15

Question 24

A basket contains 6 apples, 5 bananas, 4 oranges, and 5 guavas. Juan randomly chooses one piece of fruit, eats it, and chooses another piece of fruit. What is the probability that he chose a banana and then an apple?

Accepted Answer

3/38

Answer

30/38

Answer

31/38

Answer

11/38

Question 25

What conclusion can you draw from the result in item#24?

Accepted Answer

There is only 8% chance to choose a banana and an apple.

Answer

There is only 88% chance to choose a banana and an apple.

Answer

It’s more likely to get a banana and an apple.

Answer

There is no chance or probability to eat a banana and an apple

Question 26

A box contains 4 red marbles and 5 blue marbles. What is the probability of randomly choosing 1 red and 1 blue marble with replacement?

Accepted Answer

20/81

Answer

5/9

Answer

4/9

Answer

9/81

Question 27

Based on the problem in item#26, what makes two events independent?

Accepted Answer

The probability of event A does not affect P(B).

Answer

The ball was not replaced.

Answer

The marble was not returned to the box.

Answer

The P(A) affects P(B).

Question 28

In a deck of cards, what is the probability of getting a club?

Accepted Answer

1/4

Answer

3/4

Answer

1/2

Answer

1/13

Question 29

A letter is drawn from the last name of your Math Teacher, what is the probability that it is a consonant?

Accepted Answer

1/2

Answer

1/4

Answer

1/3

Answer

2/4

Question 30

If a card is drawn from a deck of cards, what is the probability that it is not a spade?

Accepted Answer

3/4

Answer

1/13

Answer

1/2

Answer

1/4

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