Question 1

A compound event consists of two or more outcomes or simple events.

Accepted Answer

A compound event involves multiple outcomes or simple events occurring together.

Question 2

A child gets 20 heads out of 30 tosses of a coin. If he declared the chance of getting a head with that coin were 2/3, that would be an example of ____________ probability.

Accepted Answer

empirical

Question 3

At Wassamatta University, 55.7% of the student body are males. Choose one student at random. What is the probability that the student is female?
A) 5.7%
B) 50%
C) 55.7%
D) 44.3%

Accepted Answer

The probability of selecting a female student is equal to 100% minus the percentage of male students, which is 100% - 55.7% = 44.3%. Therefore, the answer is D) 44.3%.

Question 4

If two dice are rolled one time, find the probability of getting a sum of 6.
A) 
B) 
C) 
D)

Accepted Answer

The answer of If two dice are rolled one time,...

Question 5

The statement, "The probability that a certain sports team will win it's next game is about 60%," is an example of
A) classical probability.
B) empirical probability.
C) subjective probability.
D) a sample space.

Accepted Answer

This statement represents subjective probability, as it is based on opinions, estimates, and beliefs about the likelihood of the team winning, rather than on any data or past outcomes. Classical probability is based on a known and finite set of outcome possibilities, and empirical probability is based on observed frequencies of past events. Sampling space refers to the set of all possible outcomes of a random experiment.

Question 6

If there are 18 equally likely events, then the probability of the first one occuring is 1/18.

Accepted Answer

If there are 18 equally likely events, each event has a probability of 1/18 of occurring. Therefore, the probability of the first one occurring is also 1/18.

Question 7

The staff at a small company includes: 4 secretaries, 20 technicians, 4 engineers, 2 executives, and 50 factory workers. If a person is selected at random, what is the probability that he or she is a factory worker?
A) 
B) 
C) 
D)

Accepted Answer

The probability of selecting a factory worker can be found by dividing the number of factory workers by the total number of employees. 
Total number of employees = 4 + 20 + 4 + 2 + 50 = 80 
Number of factory workers = 50 
Probability of selecting a factory worker = 50/80 = 0.625 
So, the answer is C.

Question 8

What is the set of all possible outcomes of a probability experiment?
A) an outcome
B) the sample space
C) events
D) a Venn diagram

Accepted Answer

The set of all possible outcomes of a probability experiment is called the sample space. It is the collection of all possible outcomes, and is usually denoted by the symbol S.

Question 9

How many possible outcomes would there be if three coins were tossed once?
A) 2
B) 4
C) 6
D) 8

Accepted Answer

Each coin has 2 possible outcomes (heads or tails), so for three coins, the total number of outcomes is 2^3 = 8.

Question 10

If the probability that it will rain tomorrow is 0.37, what is the probability that it will not rain tomorrow?
A) 0.37
B)  0.37
C) 0.63
D) 1.37

Accepted Answer

The probability that it will not rain is the complement of the probability that it will rain, which is given as 1-0.37 = 0.63. Therefore, the correct answer is option C. Options A and B are incorrect because they give the probability of rain instead of no rain. Option D is also incorrect because a probability cannot be greater than 1.

Question 11

If two dice are rolled one time, find the probability of getting a sum less than 5.
A) 
B) 
C) 
D)

Accepted Answer

The answer of If two dice are rolled one time,...

Question 12

Tree diagrams are useful for
A) illustrating the law of large numbers.
B) finding all possible outcomes in a probability experiment involving several steps.
C) showing that the outcome is the set of all possible sample spaces.
D) ordering outcomes from lowest to highest.

Accepted Answer

Tree diagrams are a visual tool used to list all possible outcomes of a probability experiment involving several steps. By branching out possibilities in each level, a tree diagram helps us see the full range of possible outcomes and calculate probabilities accordingly.

Question 13

If a red suit is drawn from an ordinary deck of cards, what is the probability that the card is a diamond?
A) 
B) 
C) 
D)

Accepted Answer

The answer of If a red suit is drawn from...

Question 14

What type of probability uses a knowledge of sample spaces as opposed to experiments to determine the numerical probability that an event will occur?
A) classical probability
B) conditional probability
C) empirical probability
D) subjective probability

Accepted Answer

Classical probability uses a knowledge of sample spaces to determine the numerical probability that an event will occur. It is also known as theoretical probability.

Question 15

Classical probability was the first type of probability studied formally by mathematicians of the 17th and 18th centuries.

Accepted Answer

Classical probability, also known as "a priori" probability, was indeed the first type of probability studied formally by mathematicians during the 17th and 18th centuries.

Question 16

If one tosses a coin enough times, the number of heads and tails will tend to "even out." This is an example of the law of ______________.

Accepted Answer

The answer of If one tosses a coin enough times,...

Question 17

If a sportscaster makes an educated guess as to how well a team will do this season, he is using what type of probability?
A) classical probability
B) conditional probability
C) empirical probability
D) subjective probability

Accepted Answer

The sportscaster is using his own knowledge, experience, and intuition to make a prediction, which is subjective probability. Classical probability refers to theoretical calculations based on equally likely outcomes, empirical probability is based on observations and data, and conditional probability involves the likelihood of an event given some other event has already occurred. None of these types of probability apply to the sportscaster's prediction.

Question 18

If a die were rolled, the event of getting an even number would be called a simple event.

Accepted Answer

The answer of If a die were rolled, the event...

Question 19

Find the probability of getting a number greater than 4 when a die is rolled one time.
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the probability of getting a number...

Question 20

Two events are mutually exclusive if they cannot both occur.

Accepted Answer

By definition, if two events are mutually exclusive, then they cannot both occur. Therefore, the statement "Two events are mutually exclusive if they cannot both occur" is true.

Quiz 4: Probability and Counting Rules

A compound event consists of two or more outcomes or simple events.

A child gets 20 heads out of 30 tosses of a coin. If he declared the chance of getting a head with that coin were 2/3, that would be an example of ____________ probability.

At Wassamatta University, 55.7% of the student body are males. Choose one student at random. What is the probability that the student is female?

If two dice are rolled one time, find the probability of getting a sum of 6.

The statement, "The probability that a certain sports team will win it's next game is about 60%," is an example of

If there are 18 equally likely events, then the probability of the first one occuring is 1/18.

The staff at a small company includes: 4 secretaries, 20 technicians, 4 engineers, 2 executives, and 50 factory workers. If a person is selected at random, what is the probability that he or she is a factory worker?

What is the set of all possible outcomes of a probability experiment?

How many possible outcomes would there be if three coins were tossed once?

If the probability that it will rain tomorrow is 0.37, what is the probability that it will not rain tomorrow?

If two dice are rolled one time, find the probability of getting a sum less than 5.

Tree diagrams are useful for

If a red suit is drawn from an ordinary deck of cards, what is the probability that the card is a diamond?

What type of probability uses a knowledge of sample spaces as opposed to experiments to determine the numerical probability that an event will occur?

Classical probability was the first type of probability studied formally by mathematicians of the 17th and 18th centuries.

If one tosses a coin enough times, the number of heads and tails will tend to "even out." This is an example of the law of ______________.

If a sportscaster makes an educated guess as to how well a team will do this season, he is using what type of probability?

If a die were rolled, the event of getting an even number would be called a simple event.

Find the probability of getting a number greater than 4 when a die is rolled one time.

Two events are mutually exclusive if they cannot both occur.