Chapter 5 Smartbook

It describes the relative likelihood that an event will occur.It is a number between 0 and 1 inclusive,

Which of the following statements describe a probability? Select all that apply.

The events A and B must be mutually exclusive.

Which one of the following conditions must be met to use the Special Rule of Addition? I.e. P(A or B)=P(A) + P(B) Multiple choice question.

The sum of their probabilities must be 1.

Which one of the following is true about events that are both mutually exclusive and collectively exhaustive?

Combination Formula

The City Cafe is known for their vegetable plate lunch special that comes with four vegetables, cornbread, and sweet tea. If the four vegetables can be selected from a list of ten vegetables, what formula should be used to determine how many different vegetable plates are there? Assume no vegetable is selected more than once

True

True or false: Prior probability is the initial probability based on the present level of information.

the occurrence of one event does not change the likelihood that the other will occur

Two events are independent if:

the occurrence of one event means the other can't occur at the same time

Two events are mutually exclusive if:

contingency

A table used to classify observations according to two or more identifiable characteristics, and often used to determine probabilities is called a Blank______ table.

The probability that two or more events will happen at the same time

Choose the best description of a Joint Probability.

The occurrence of one event has no effect on the probability the other will occur.

Choose the best description of independent events.

P(A or B) = P(A) + P(B)

Choose the formula that states the Special Rule of Addition.

A process that leads to only one of several possible outcomes.

Choose the statement that best defines the term "experiment" in the context of probability.

Event A and event B must not be able to occur at the same time

P(A or B)=P(A) + P(B) For this to be true, which one of the following conditions must be met?

.85

Suppose that P(X)=0.20, P(Y)=0.40, P(Z)=0.25, and the events are mutually exclusive. What is the probability of X, Y, or Z occurring?

1

The Complement Rule tells us that P(A) + P(~A) = Blank______. Multiple choice question.

The probability that the second marble will be red, if the first one was yellow.

A bowl contains three red and four yellow marbles. You randomly select two marbles from the bowl. Which of the following is a conditional probability? Assume the second marble is drawn from the marbles remaining after the first draw. Multiple choice question.

12

A particular brand of cell phone case is available in four different styles and each style comes in three colors. How many different cases are available?

nPr=N!/(n-r)!

A permutation is any arrangement of r objects selected from n possible objects. Which formula is used to calculate the number of permutations?

at least one of the events must occur when the experiment is done

A set of events is collectively exhaustive when: Multiple choice question.

Getting a 4

Consider the experiment of rolling a die. The event getting a 2 and which one of the following would be considered mutually exclusive?

Getting a number less than 5.

Considering the experiment of rolling a die, which event would be both mutually exclusive and collectively exhaustive with the event getting a number greater than 4?

The number of favorable outcomes divided by the number of possible outcomes.

How do you calculate classical probability?

The number of times the event occurs divided by the total number of observations.

How is Empirical Probability calculated?

The probability of not A.

How would you read the formula P(~A)?

Combination Formula

Identical prizes are to be given to two winners from a group of 12 contestants. What counting formula would you use to determine how many ways the prizes could be given out?

empirical

If the fraction of times an event happened in the past is used as the basis for assigning a probability to the event, this is Blank______ probability. Multiple choice question.

M X N

If there are m ways of doing one thing and n ways of doing another, how many ways are there to do both? For example, if a toy comes in m colors and n sizes, how many different toys can there be?

A particular result of the experiment.

In a probability experiment, what is an outcome?

25%

In a random experiment there are 8 possible outcomes, and two of them correspond to a favorable event. What is the classical probability of the event?

The Joint Probability of A and B

In the Venn diagram shown, the area where the circles overlap is P(A and B). What is this area called? Multiple choice question.

P(B)

In the Venn diagram shown, what does the area inside the circle labeled "Event B" represent?

P(B)

In the Venn diagram shown, what does the area inside the circle labeled "Event B" represent? Multiple choice question.

P(A and B)

In the Venn diagram shown, what is the Joint Probability?

The initial probability based on the present level of knowledge

In the context of Baye's Theorem, which of the following statements best describes a Prior Probability?

complement

The equation P(A) = 1 - P(~A) is know as the Blank______ rule. Multiple choice question.

the past history of outcomes from the experiment

The value given for an Empirical Probability is based on:

0.3

What is the answer for P(~A) if P(A) = 0.7?

The likelihood that two or more events will happen at the same time.

What does a Joint Probability measure?

That at least one of the events must occur.

What does it mean when an experiment has a set of events that are collectively exhaustive?

The relative frequency with which the event happened in the past.

What is Empirical Probability?

The chance a high school student will do well in college given the student scored well on the ACT.

Which of the following is a Conditional Probability?

If you apply for a job after graduation, your chance of getting the job is 83%.

Which of the following is a Subjective Probability?

Toss one coin, Answer a true or false question, Roll a die

Which of the following met the requirements for a probability experiment? Multiple select question.

The order is importantAny arrangement of r objects selected from a single group of n possible objects

Which of the following statements best describes permutations?