Quiz about Review 3rd Quarter Exam

Question 1

The favorite sports of male students of Lahug Night High School are shown to the right. How many male students like both basketball and volleyball?

Accepted Answer

13

Answer

10

Answer

72

Answer

92

Question 2

The beverage that the people prefer to drink in the morning are shown in the Venn diagram to the right. Which of the following Venn diagram visually represents the people that do not drink coffee or tea?

Accepted Answer

Question 3

Which diagram illustrates mutually exclusive events?

Accepted Answer

Question 4

What is the set that contains all of the elements that are in at least one of the two events?

Accepted Answer

A. union of events

Answer

B. compound events

Answer

C. intersection of events

Answer

D. mutually exclusive events

Question 5

Which events have no outcome in common?

Accepted Answer

D. mutually exclusive events

Answer

A. union of events

Answer

B. compound events

Answer

C. intersection of events

Question 6

What is the difference between permutation and combination?

Accepted Answer

C. Permutation-order is important; combination-order is not important.

Answer

A. Both permutation and combination-order are important.

Answer

B. Both permutation and combination-order are not important.

Answer

D. Combination-order is important; permutation-order is not important.

Question 7

Ten students will be arranged in a row. Which counting technique will be used to find the number of ways it can be done?

Accepted Answer

B. permutation

Accepted Answer

D. fundamental principle of counting

Answer

A. combination

Answer

C. circular permutation

Question 8

Albert has three shirts and five caps. He wants to know in how many ways he can wear them to create different outfits. Which counting technique will help him?

Accepted Answer

B. permutation

Accepted Answer

D. fundamental principle of counting

Answer

A. combination

Answer

C. circular permutation

Question 9

What is the term used to refer to the outcomes of an experiment?

Accepted Answer

B. outcome

Answer

A. event

Answer

C. sample space

Answer

D. Venn diagram

Question 10

What refers to the product of the positive integer n and all the positive integers less than n?

Accepted Answer

A. n-factorial

Answer

B. combination

Answer

C. permutation

Answer

D. circular permutation

Question 11

Which uses circles to represent sets, in which the relationship between the sets is indicated by the arrangement of the circles?

Accepted Answer

D. Venn diagram

Answer

A. events

Answer

B. outcomes

Answer

C. sample space

Question 12

What is referred to when two events occur independently, without affecting each other?

Accepted Answer

D. independent event

Answer

A. simple event

Answer

B. compound event

Answer

C. dependent event

Question 13

After the tryouts for the volleyball team, the coach selects 14 students to join the team. Due to a problem with transportation, only nine students can travel. In how many ways can the coach pick the people?

Accepted Answer

C. 2002

Answer

A. 126

Answer

B. 630

Answer

D. 726 485 760

Question 14

Which refers to the order of arrangement of objects where order does not matter?

Accepted Answer

B. combination

Answer

A. n-factorial

Answer

C. permutation

Answer

D. circular permutation

Question 15

A 10 - diamond card is drawn from a 52 deck of cards. Which of the following illustrates this event?

Accepted Answer

C. compound events

Answer

A. union of events

Answer

B. intersection of events

Answer

D. mutually exclusive events

Question 16

What does the notation 4C2 implies?

Accepted Answer

B. combination of four objects taken two at a time

Answer

A. combination of two objects taken four at a time

Answer

C. permutation of two objects taken four at a time

Answer

D. permutation of four objects taken two at a time

Question 17

What will be the probability of getting odd numbers if a dice is thrown?

Accepted Answer

A. 1/2

Answer

B. 2

Answer

C. 4/2

Answer

D. 5/2

Question 18

George and Aliyah are calculating the probability of selecting either a blue or red marble from a collection comprising eight blue marbles, six red marbles, eight yellow marbles, and four white marbles. Below are their respective solutions. Which one provides the accurate answer?

Accepted Answer

A. Aliyah is correct.

Answer

C. Both of them are correct.

Answer

B. Geoge is correct.

Answer

D. Neither of them is correct.

Question 19

Which is the correct meaning of combination?

Accepted Answer

D. It is a counting technique that considers all possible outcomes where order of elements is not important.

Answer

A. It is a counting technique where order of members or elements matters.

Answer

B. It is a counting technique where order of members or elements is counted individually.

Answer

C. It is a counting technique that considers all possible outcomes where order of elements is necessary.

Question 20

A multiple-choice test has 12 questions. Each question has six choices: A, B, C, D, E, or F. How many ways can the test be answered?

Accepted Answer

D. 2 176 782 336

Answer

A. 18

Answer

B. 72

Answer

C. 2 985 984

Question 21

A toothpaste firm claims that in a survey of 54 people, they were using either Colgate, Hapee, or Close-up brand. The following statistics were found: six people used all three brands, five used only Hapee and Close-up, 18 used Hapee or Close-up, two used Hapee, two used only Hapee and Colgate, one used Close-up and Colgate, and 20 used only Colgate. Is the survey worth paying for?

Accepted Answer

A. no

Answer

B. yes

Answer

C. either yes or no

Answer

D. neither yes nor no

Question 22

Which situations involves permutation?

Accepted Answer

A. opening a combination lock

Answer

B. selecting three posters to hang out of six different posters

Answer

C. choosing five questions to answer out of 10 questions in a test

Answer

D. forming a six-member committee from 10 eligible board members

Question 23

You are hired in a restaurant as a supervisor. Part of your job is to plan the menu to be served every day. You are tasked by the owner to come up with a recommendation of a list of different choices of food to be served. Your recommendation must include an explanation why some dishes are less or more frequently served. What mathematical concepts are used in this situation?

Accepted Answer

C. fundamental counting principle and permutation

Answer

A. combination and permutation

Answer

B. combination and fundamental counting principle

Answer

D. combination, permutation, and fundamental counting principle

Question 24

In which situation are the events mutually exclusive?

Accepted Answer

A. drawing a marble from a bag that is either red or blue

Answer

B. picking a card from a deck that is either a heart or a face card

Answer

C. selecting a student from a class who is either a senior or plays basketball

Answer

D. rolling a fair six-sided die and getting a number less than three or an even number

Question 25

In a group of 35 children, 10 have blonde hair, 14 have brown eyes, and 4 have both blonde hair and brown eyes. If a child is selected at random, what is the probability that the child has blonde hair or brown eyes?

Accepted Answer

A. 4/7

Answer

B. 3/5

Answer

C. 7/9

Answer

D. 5/6

Question 26

Which scenario best illustrates mutually exclusive events?

Accepted Answer

D. choosing a number between 1 and 10 and getting either an even or an odd number

Answer

A. flipping a fair coin twice and getting heads both times

Answer

B. selecting a red card or a king from a standard deck of playing cards

Answer

C. rolling a fair six-sided die and getting an odd number or a prime number

Question 27

In how many ways can a committee of seven students be chosen from nine juniors and nine seniors if there must be four seniors in the committee?

Accepted Answer

D. 10 584

Answer

A. 210

Answer

B. 1 204

Answer

C. 5 250

Question 28

Which statement/s is/are true?

I. Independent events can be disjoint.
II. If two events are not disjoint, then they must be independent.
III. If two events are independent, then they must not be disjoint.

Accepted Answer

D. III only

Answer

A. I and III only

Answer

B. I, II, and III

Answer

C. II and III only

Question 29

In a small assembly plant with 50 employees, each worker is expected to complete work assignments on time and in such a way that the assembled product will pass a final inspection. On occasion, some of the workers fail to meet the performance standards by completing work late or assembling a defective product. At the end of a performance evaluation period, the production manager found out that five of the 50 workers completed work late, six of the 50 workers assembled a defective product, and two of the 50 workers both completed work late and assembled a defective product. After reviewing the performance data, the production manager decided to assign a poor performance rating to any employee whose work was either late or defective. What is the probability that the production manager assigns an employee a poor performance rating? The problem involves what probability?

Accepted Answer

C. mutually exclusive events

Answer

A. dependent events

Answer

B. independent events

Answer

D. not mutually exclusive events

Review 3rd Quarter Exam

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