Question

MATH399 Applied Managerial Statistics

Week 3 Assignment Probability Terminology and Notation

QuestionA deck of cards contains RED cards numbered 1,2,3,4,5
and BLUE cards numbered 1,2,3,4. Let Rbe the event of drawing a red
card, B the event of drawing a blue card, E the event of drawing an
even numbered card, and O the event of drawing an odd card.

Drawing the Red 5 is an example of which of the following
events? Select all correct answers.

E′

R OR E

B AND O

B AND E

R AND O

O′

QuestionA university offers finance courses numbered
1,2,3,4,5 and accounting courses numbered 1,2,3,4,5,6. Let F be the
event of selecting a finance course, A the event of selecting an
accounting course, E the event of selecting an even numbered
course, and O the event of selecting an odd course.

Selecting the accounting course number 3 is an example of
which of the following events? Select all correct answers.

A AND
O

F OR E

F AND O

F OR O

E′

A′

QuestionThe average emergency room cares for 300 patients
each day. There are 20 nurses on duty at the emergency room each
day, and they share the patient load equally.

Suppose one patient is chosen at random.

Identify the numbers of each of the following:

QuestionA computer randomly generates numbers 1 through 100
for a lottery game. Every lottery ticket has 7numbers on it.

Identify the correct experiment, trial, and outcome below:

The experiment is the computer randomly generating a number.

The experiment is the computer randomly generating a number
less than 10.

A trial is one number generated.

The trial is identifying the number generated.

An outcome is the number 2 being generated.

The outcome is the number being randomly generated.

QuestionA bowl of candy contains 6 chocolate candies and 4
lemon candies. Choosing one piece of candy at random, find the
probability of choosing a chocolate candy. Write your answer as a
decimal, rounded to the hundredths place.

QuestionA bowl of candy contains 5 chocolate candies and 3
lemon candies. Choosing one piece of candy at random, find the
probability of choosing a chocolate candy. Write your answer as a
decimal rounded to three decimal places.

QuestionA motor company is manufacturing pickup trucks,
sedans, minivans, SUVs, ATV, and motorcycles. The dots in the Venn
diagram below show the type of each vehicle. A vehicle is selected
at random.

•
Let A be the event of selecting a four-wheeled vehicle.

•
Let B be the event of selecting a pickup truck or a motorcycle.

Move the dots on the Venn diagram to place the dots in the
correct event, A, B,or A AND B. Note that you might not use all of
the dots.

QuestionA restaurant is offering chicken specials cards
numbered 1,2,3,4,5,6 and fish specials numbered 1,2,3,4,5.

Let:

•
C be the event of selecting a chicken special,

•
F be the event of selecting a fish special,

•
E be the event of selecting an even numbered special, and

•
O be the event of selecting an odd special.

Selecting the fish special number 3 is an example of which of
the following events?

F′

C OR E

C AND O

E′

O′

F AND O

QuestionTwo fair dice are rolled, one blue, (abbreviated B)
and one red, (abbreviated R). Each die has one of the numbers
{1,2,3,4,5,6} on each of its faces. The dots in the Venn diagram
below show the number and the color of the dice.

•
Let A be the event of rolling an even number on either of the dice.

•
Let B be the event of rolling a number greater than 4 on either of
the dice.

Move the dots on the Venn diagram to place the dots in the
correct event, A, B,or A AND B. Note that you might not use all of
the dots.

QuestionA standard six-sided die shows a number, 1, 2, 3, 4,
5, or 6, on each of its sides. You roll the die once. Let E be the
event of rolling the die and it showing an even number on top and L
be the event of rolling a number less than 4.

Rolling a 3 is an outcome of which of the following events?
Select all correct answers.

E OR L

E′ AND L

E AND L

E′ OR L′

L′

E AND L′

Probability Notation: AND, OR, and NOT

Using “OR,” “AND,” and “NOT” to Describe Events

In probability and statistics, we often are interested in
combinations of events. Below, we give some of the combinations
that are of particular interest. You will eventually learn formulas
to compute the probabilities of these combinations of events. For
now, we are interested in describing events with this notation.

“OR” Events

An outcome is in the event A OR B if the outcome is in A, or
is in B, or is in both A and B. This can be represented by a Venn
diagram, as shown below:

A Venn diagram with universal set Upper U contains two
intersecting circles labeled Upper A and Upper B that divide Upper
U into three regions. There are values in each region as follows,
where the location of the region is given first and the content is
given second: Upper A only, 1, 4; Upper A and Upper B only, 3, 5,
10; Upper B only, 12.

Here, we see A represented by the blue circle, and notice
that A={1,3,4,5,10} . B is represented by the orange circle, and
B={3,5,10,12}. Then A OR B={1,3,4,5,10,12}, all of the numbers
found in event A OR event B. Notice that 3, 5 and 10 are each
listed once, even though they appear in both A and B.

In addition to the OR notation, you are also likely to see
the notation ∪ used. You may have seen this notation used to
represent the union of two sets. Similarly here, we are taking the
union of two events. A OR B and A∪B mean the same
thing.

“AND” Events

An outcome is in the event A AND B if the outcome is in both
A and B at the same time. Consider again the Venn diagram:

A Venn diagram with universal set Upper U contains two
intersecting circles labeled Upper A and Upper B that divide Upper
U into three regions. There are values in each region as follows,
where the location of the region is given first and the content is
given second: Upper A only, 1, 4; Upper A and Upper B only, 3, 5,
10; Upper B only, 12.

We see that A={1,3,4,5,10} and B={3,5,10,12}. Then A
AND B={3,5,10}, the numbers found in both events.

The notation you will often see for AND is ∩. You may have
seen this notation used to represent the intersection of two sets.
Similarly here, we are looking at the intersection of the two
events A and B .

A ANDB and A∩B mean the same thing.

“NOT” Events

The complement of event A is denoted A′ (read “A prime”). A′
consists of all outcomes that are NOT in A. Refer one more time to
the diagram:

A Venn diagram with universal set Upper U contains two
intersecting circles labeled Upper A and Upper B that divide Upper
U into three regions. There are values in each region as follows,
where the location of the region is given first and the content is
given second: Upper A only, 1, 4; Upper A and Upper B only, 3, 5,
10; Upper B only, 12.

We see that A={1,3,4,5,10}. Here A′={12}, all of the elements
of the sample space, U, that are not in A. Sometimes you may
see A′ written as ∼A.

Example 1

Question

A deck of cards for a board game contains RED cards numbered
1,2,3,4 and BLUE cards numbered 1,2,3, as shown below.

A deck of cards with blue cards numbered 1, 2, and 3 and with
red cards numbered 1, 2, 3, 4.

The cards are shuffled and placed face down on the game
board. Let:

•
R be the event of drawing a red card;

•
B be the event of drawing a blue card;

•
and E be the event of drawing an even numbered card.

Use “And,” “Or,” and “Not” to describe the following events:

(a) Drawing a Blue 2.

(b) Drawing a Red 1.

(c) Drawing an even card.

Example 2

Each dot outside the Venn diagram below represents a student
in a particular major. The red dots represent health sciences
majors (abbreviated HSM), and the blue dots represent business
majors (abbreviated BM).

Let:

•
A: the event that students are currently enrolled in a writing
course.

•
B: the event that students are currently enrolled in a statistics
course.

Arrange the dots on the Venn diagram so that the following
situation is represented (you might not use all of the dots):

Four friends are enrolled in writing and statistics courses.
Of those four friends, two are health sciences majors and two are
business majors.

•
Both business majors are enrolled in statistics courses,
B={BM1,BM2};

•
Both health science majors are only enrolled in writing courses,
A={HSM1,HSM2};

•
One of the business majors is enrolled in both a statistics course
and a writing course. A∩B={BM1}

QuestionA deck of cards contains RED cards numbered 1,2 and
BLUE cards numbered 1,2,3,4. Let R be the event of drawing a red
card, B the event of drawing a blue card, E the event of drawing an
even numbered card, and O the event of drawing an odd card.

Drawing the Blue 1 is an example of which of the following
events? Select all correct answers.

R AND E

R AND O

B AND O

R′

B AND E

B′

QuestionA CEO decides to award her employees that have met
their objectives this year. Those employees that have met their
objectives have the chance to win vacation days. They can win
either Mondays (abbreviated M) or Tuesdays (abbreviated T). They
can also win up to two days. The Venn Diagrams below show the
different combinations that an employee can win.

•
Let A be the event of winning two of the same day.

•
Let B be the event of winning a Monday

Move the dots on the Venn diagram to place the dots in the
correct event, A, B,or A AND B. Note that you might not use all of
the dots.

QuestionA pharmaceutical company is testing their new brand
of Vitamins: A, B, and C. Each type of vitamin has been labeled
with a number {1,2,3} for anonymous testing so that three versions
of each vitamin type are tested. The dots in the Venn diagram below
show the number and the type of vitamin being tested. A researcher
selects a vitamin at random.

•
Let A be the event of selecting vitamin A.

•
Let B be the event of selecting a vitamin labeled with an even
number.

Move the dots on the Venn diagram to place the dots in the
correct event, A, B,or A AND B. Note that you might not use all of
the dots.

QuestionThree fair coins are flipped at the same time. Each
coin has the two possible outcomes: heads or tails. There are 8
possible outcomes for the three coins being flipped:
{HHH,TTT,HHT,HTT,THH,TTH,HTH,THT}.

Let A be the event that the second coin flipped shows a head.

Identify the numbers of each of the following:

P(A)=$$12, is the probability that the second coin flipped
shows heads.

QuestionDoctors at a research hospital are conducting a study
to see if flu patients received a flu vaccination in the past year.
To collect their data, they ask each person treated for the flu at
their hospital whether they received the vaccination.

Identify the correct experiment, trial, and outcome below:

The experiment is recording the number of patients who say
that they have received the flu vaccine.

The experiment is asking whether a flu patient received the
vaccine.

A trial is asking one patient if they have been vaccinated.

The trial is identifying recording the number of patients who
say that they have received the flu vaccine.

An outcome is no, the person was not vaccinated.

An outcome is asking one specific person whether they have
received the flu vaccination.

QuestionA bowl of candy contains 7 chocolate candies and 5
lemon candies. Choosing one piece of candy at random, find the
probability of choosing a chocolate candy. Write your answer as a
decimal, rounded to the hundredths place.

QuestionA bowl of candy contains 8 chocolate candies and 6
lemon candies. Choosing one piece of candy at random, find the
probability of choosing a chocolate candy. Write your answer as a
decimal, rounded to the hundredths place.

QuestionA deck of cards contains RED cards numbered 1,2 and
BLUE cards numbered 1,2,3. Let R be the event of drawing a red
card, B the event of drawing a blue card, E the event of drawing an
even numbered card, and O the event of drawing an odd card.

Which of the following events include the outcome of drawing
a blue 1?

R AND O

B OR E

R OR E

B AND E

B AND O

R AND E

QuestionA mathematics professor is organizing her classroom
into groups for the final project. Each student will either
be working on a graphing (G) project or writing a paper (P).
Also, each student will be working on an economics (E), finance
(F), sociology (S), or criminal justice (C) problem. The dots
in the Venn diagram below show the different scenarios.

•
Let A be the event of a student working on a graphing project.

•
Let B be the event of a student writing a paper.

Move the dots on the Venn diagram to place the dots in the
correct event, A, B,or A AND B. Note that you might not use all of
the dots.

QuestionA deck of cards contains RED cards numbered 1,2,3,4
and BLUE cards numbered 1,2,3, as shown below.

A deck of cards with blue cards numbered 1, 2, and 3
and with red cards numbered 1, 2, 3, 4.

Let R be the event of drawing a red card, B be the
event of drawing a blue card, E be the event of drawing an even
numbered card, and O be the event of drawing an odd numbered card.

Drawing the Red 3 is an outcome in which of the following
events? Select all correct answers.

R AND O

B OR E

R′

E′

E OR R

QuestionDifferent types of advertising methods are being
considered for a company’s new product: a magazine ad (M), a
television ad (T), a newspaper coupon (N), a radio ad (R), a coupon
mailer (C), and a social media ad (S). The coupons are both good
for ten dollars off the item. The dots in the Venn diagram below
show the various methods. An advertising specialist considers a
method at random to review.

•
Let A be the event of selecting a method that gives a discount.

•
Let B be the event of selecting a printed method.

Move the dots on the Venn diagram to place the dots in the
correct event, A, B,or A AND B. Note that you might not use all of
the dots.

QuestionA track team contains sprinters numbered 1,2,3,4,5
and distance runners numbered 1,2. Let S be the event of selecting
a sprinter, D the event of selecting a distance runner, E the event
of selecting an even numbered runner, and O the event of selecting
an odd runner.

Selecting the sprinter numbered 1 is one outcome of which of
the following events? Select all correct answers.

D AND O

D OR E

D OR O

O′

E′

S AND E

QuestionLet G be the event that a randomly chosen employee of
a restaurant is a General Manager. Let S be the event that a
randomly chosen employee of a restaurant works at a seafood
restaurant. Identify the answer which expresses the following with
correct notation: Given that the employee is a General Manager, the
probability that a randomly chosen employee of a restaurant works
at a seafood restaurant.

P(S|G)

P(G|S)

P(G AND S)

P(S) AND P(G)

QuestionLet M be the event that a randomly chosen student
passes a math test. Let S be the event that a randomly chosen
student studies every day. Identify the answer which expresses the
following with correct notation: The probability that a randomly
chosen student studies every day, given that the student passes a
math test.

P(M|S)

P(M AND S)

P(S) AND P(M)

P(S|M)

QuestionThere are 52 cards in a standard deck of cards, with
four of each type of card: Ace ,2,3,4,5,6,7,8,9,10,Jack ,Queen
,King .

Let event A be choosing a 7 out of a deck of cards.

Identify the numbers of each of the following. Enter the
probability as a fraction:

QuestionPeople with some college education stay married to
their spouses for at least twenty years at a rate of 67%. How
likely is it that a randomly selected, college educated couple will
be married for at least twenty years?

Very likely, the probability is close to 1.

Somewhat likely, the probability is closer to 1 than to 0.

Unlikely, the probability is close to 0.

Somewhat unlikely, the probability is closer to 0 than it is
to 1.

Equally likely, the probability is 0.5.

QuestionA bowl of candy contains 7 chocolate candies and 6
lemon candies. Choosing one piece of candy at random, find the
probability of choosing a chocolate candy. Write your answer as a
decimal, rounded to the hundredths place.

QuestionA bag contains 7 red beads, 10 blue beads, and 5
green beads. If a single bead is picked at random, what is the
probability that the bead is green?

1022

522

722

1222

1722

1522

QuestionA biologist has a number of butterfly specimens. The
butterflies are of various colors and various ages. The colors are
blue (abbreviated B), red (abbreviated R), or yellow (abbreviated
Y). Each specimen is labeled with one the numbers {1,2,3,4,5,6} and
the number represents how many months old it is. The dots in the
Venn diagram below show the age and the color of the specimen. The
biologist selects a specimen at random.

•
Let A be the event of selecting a yellow specimen.

•
Let B be the event of selecting a specimen that is older than 2
months old.

Move the dots on the Venn diagram to place the dots in the
correct event, A, B,or A AND B. Note that you might not use all of
the dots.

QuestionA lawyer has numbered the cases that he is working
on. He has criminal cases numbered 1,2,3,4and civil numbered
1,2,3,4,5. Let R be the event of selecting a criminal case, C the
event of selecting a civil case, E the event of selecting an even
numbered case, and O the event of selecting an odd case.

Selecting the criminal case number 4 is an example of which
of the following events? Select all correct answers.

C′

R AND O

C OR O

C AND O

C AND E

R AND E

QuestionTwo fair dice are rolled, one blue, (abbreviated B)
and one red, (abbreviated R). Each die has one of the numbers
{1,2,3,4,5,6} on each of its faces. The dots in the Venn diagram
below show the number and the color of the dice.

•
Let A be the event of rolling an even number on either of the dice.

•
Let B be the event of rolling a number greater than 4 on either of
the dice.

Move the dots on the Venn diagram to place the dots in the
correct event, A, B,or A AND B. Note that you might not use all of
the dots.

QuestionA standard six-sided die shows a number, 1, 2, 3, 4,
5, or 6, on each of its sides. You roll the die once. Let E be the
event of rolling the die and it showing an even number on top and L
be the event of rolling a number less than 4.

Rolling a 3 is an outcome of which of the following events?
Select all correct answers.

E OR L

E′ AND L

E AND L

E′ OR L′

L′

E AND L′

Probability Notation: AND, OR, and NOT

Using “OR,” “AND,” and “NOT” to Describe Events

In probability and statistics, we often are interested in
combinations of events. Below, we give some of the combinations
that are of particular interest. You will eventually learn formulas
to compute the probabilities of these combinations of events. For
now, we are interested in describing events with this notation.

“OR” Events

An outcome is in the event A OR B if the outcome is in A, or
is in B, or is in both A and B. This can be represented by a Venn
diagram, as shown below:

A Venn diagram with universal set Upper U contains two
intersecting circles labeled Upper A and Upper B that divide Upper
U into three regions. There are values in each region as follows,
where the location of the region is given first and the content is
given second: Upper A only, 1, 4; Upper A and Upper B only, 3, 5,
10; Upper B only, 12.

Here, we see A represented by the blue circle, and notice
that A={1,3,4,5,10} . B is represented by the orange circle, and
B={3,5,10,12}. Then A OR B={1,3,4,5,10,12}, all of the numbers
found in event A OR event B. Notice that 3, 5 and 10 are each
listed once, even though they appear in both A and B.

In addition to the OR notation, you are also likely to see
the notation ∪ used. You may have seen this notation used to
represent the union of two sets. Similarly here, we are taking the
union of two events. A OR B and A∪B mean the same
thing.

“AND” Events

An outcome is in the event A AND B if the outcome is in both
A and B at the same time. Consider again the Venn diagram:

A Venn diagram with universal set Upper U contains two
intersecting circles labeled Upper A and Upper B that divide Upper
U into three regions. There are values in each region as follows,
where the location of the region is given first and the content is
given second: Upper A only, 1, 4; Upper A and Upper B only, 3, 5,
10; Upper B only, 12.

We see that A={1,3,4,5,10} and B={3,5,10,12}. Then A
AND B={3,5,10}, the numbers found in both events.

The notation you will often see for AND is ∩. You may have
seen this notation used to represent the intersection of two sets.
Similarly here, we are looking at the intersection of the two
events A and B .

A ANDB and A∩B mean the same thing.

“NOT” Events

The complement of event A is denoted A′ (read “A prime”). A′
consists of all outcomes that are NOT in A. Refer one more time to
the diagram:

A Venn diagram with universal set Upper U contains two
intersecting circles labeled Upper A and Upper B that divide Upper
U into three regions. There are values in each region as follows,
where the location of the region is given first and the content is
given second: Upper A only, 1, 4; Upper A and Upper B only, 3, 5,
10; Upper B only, 12.

We see that A={1,3,4,5,10}. Here A′={12}, all of the elements
of the sample space, U, that are not in A. Sometimes you may
see A′ written as ∼A.

Example 1

Question

A deck of cards for a board game contains RED cards numbered
1,2,3,4 and BLUE cards numbered 1,2,3, as shown below.

A deck of cards with blue cards numbered 1, 2, and 3 and with
red cards numbered 1, 2, 3, 4.

The cards are shuffled and placed face down on the game
board. Let:

•
R be the event of drawing a red card;

•
B be the event of drawing a blue card;

•
and E be the event of drawing an even numbered card.

Use “And,” “Or,” and “Not” to describe the following events:

(a) Drawing a Blue 2.

(b) Drawing a Red 1.

(c) Drawing an even card.

BBR′R′∪E∪E′∪E∪E′

Example 2

Each dot outside the Venn diagram below represents a student
in a particular major. The red dots represent health sciences
majors (abbreviated HSM), and the blue dots represent business
majors (abbreviated BM).

Let:

•
A: the event that students are currently enrolled in a writing
course.

•
B: the event that students are currently enrolled in a statistics
course.

Arrange the dots on the Venn diagram so that the following
situation is represented (you might not use all of the dots):

QuestionA deck of cards contains RED cards numbered 1,2,3 and
BLUE cards numbered 1,2,3,4. Let R be the event of drawing a red
card, B the event of drawing a blue card, E the event of drawing an
even numbered card, and O the event of drawing an odd card.

Drawing the Red 1 is an example of which of the following
events? Select all correct answers.

R′

B′

O′

R OR E

B OR O

B OR E

QuestionA deck of cards contains RED cards numbered 1,2,3,4,5
and BLUE cards numbered 1,2,3,4. Let Rbe the event of drawing a red
card, B the event of drawing a blue card, E the event of drawing an
even numbered card, and O the event of drawing an odd card.

Drawing the Red 5 is an example of which of the following
events? Select all correct answers.

E′

R OR E

B AND O

B AND E

R AND O

O′

QuestionKaty is deciding which charity to donate to.
She is going to donate fifty dollars to each charity chosen, and
she can donate to a women’s shelter (abbreviated B), a charity for
rescue animals (abbreviated R), and a children’s foundation (C).
The dots in the Venn diagram below show the combinations that she
can donate to.

•
Let X be the event of donating exactly one hundred dollars.

•
Let Y be the event of donating to the charity for rescue animals.

Move the dots on the Venn diagram to place the dots in the
correct event, X, Y,or X AND Y. Note that you might not use all of
the dots.

QuestionWhich of the following pairs of events are
independent?

You roll a die twice.

Event A is getting an even number on the first roll.

Event B is getting a 4 on the second roll.

You roll a die twice.

Event A is getting a 6 on the first roll.

Event B is getting a total of more than 7.

You flip a coin and roll a die.

Event A is getting heads on the coin.

Event B is getting a 3 or more on the die.

You roll a die and flip a coin.

Event A is getting heads with the coin and getting 5 on the
die.

Event B is getting 3 or more on the die.

Basic Probability Definitions

Key Terms

•
Independent events: events that have no influence on each other;
two events A and B are said to be independent if the fact that one
event has occurred does not affect the probability that the other
event will occur

•
Dependent events: events that influence the occurrence of the
other; if whether or not one event occurs does affect the
probability that the other event will occur

•
Mutually exclusive: events which are impossible to both occur or
that have no outcomes in common

Mutually exclusive events are also commonly referred to as
Disjoint events

QuestionBeth is performing an experiment to check if a die is
fair. She rolls the die 5 times and records the sequence of numbers
she gets.

Which of these is an outcome of this experiment? Select all
correct answers.

Rolling a die

Rolling a die five times

Rolling the sequence 1,1,2,1,6

Rolling five 4’s

Rolling the sequence 1,1,2

Basic Probability Definitions

Key Terms

•
Event: some subset of the possible outcomes of an experiment, can
be described by listing the outcomes or described in words

•
Outcome: any of the possible results of an experiment in
probability

Outcome is also known as Outcome space

•
Trial: one repetition or instance of a repeated experiment

QuestionJacqueline will spin a fair spinner with the numbers
0, 1, 2, 3, and 4 a total of 3 times. If Event A = spinner lands on
numbers all greater than 2 and Event B = total sum of 9, which of
the following best describes events A and B?

independent

dependent

mutually exclusive

complement

QuestionA fair spinner contains the numbers 1, 2, 3, 4, and
5. For an experiment, the spinner will be spun 5times. If Event A =
the spinner lands on numbers all less than 3, what is an outcome of
Event A?

a total sum less than 10

spinner lands on 1, 3, 1, 2, 1

a total sum of 11

spinner lands on 1, 2, 1, 2, 2

QuestionA university offers finance courses numbered
1,2,3,4,5 and accounting courses numbered 1,2,3,4,5,6. Let F be the
event of selecting a finance course, A the event of selecting an
accounting course, E the event of selecting an even numbered
course, and O the event of selecting an odd course.

Selecting the accounting course number 3 is an example of
which of the following events? Select all correct answers.

A AND O

F OR E

F AND O

F OR O

E′

A′

QuestionA deck of cards contains RED cards numbered
1,2,3,4,5,6 and BLUE cards numbered 1,2,3,4,5.

Let:

•
R be the event of drawing a red card,

•
B be the event of drawing a blue card,

•
E be the event of drawing an even numbered card, and

•
O be the event of drawing an odd card.

Drawing the Blue 3 is an example of which of the following
events?

B′

R OR E

R AND O

E′

O′

B AND O

QuestionLet C be the event that a randomly chosen cancer
patient has received chemotherapy. Let E be the event that a
randomly chosen cancer patient has received elective surgery.
Identify the answer which expresses the following with correct
notation: Of all the cancer patients that have received
chemotherapy, the probability that a randomly chosen cancer patient
has had elective surgery.

P(C|E)

P(E|C)

P(E) AND P(C)

P(C AND E)

QuestionWhat is a particular result of an experiment?

event

sample space

trial

outcome

QuestionTrial best fits which of the following descriptions?

a particular result of an experiment

a subset of the set of all outcomes of an experiment

one repetition or instance of an experiment

the set of all possible outcomes of an experiment

QuestionLet B be the event that a randomly chosen person has
low blood pressure. Let E be the event that a randomly chosen
person exercises regularly. Identify the answer which expresses the
following with correct notation: The probability that a randomly
chosen person exercises regularly, given that the person has low
blood pressure.

P(E|B)

P(B|E)

P(E) AND P(B)

P(B AND E)

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