Font size
WorksheetsUnit 3 Prob and Stats Review HONORS
Total questions: 130
Worksheet time: 10hrs 7mins
The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown.
What is the probability of selecting a brown candy?
2/18
1/9
2/20
1/10
P(green) =
Tree Diagram
A written list of all possible outcomes
A description of all possible outcomes
A drawing with branches of all possible outcomes
What is the probability you will choose either a black or a white marble?
*remember to simplify*
What is the probability of spinning an even number?
16 2/3%
33 1/3%
50%
75%
Find the probability of rolling greater than a 1 on a single die.
6/6
5/6
4/6
1/6
Find the probability of not rolling a 2 on a single die.
1/6
2/6
5/6
2
Determine whether the event is impossible, unlikely, as likely as not, likely, or certain. You flip a fair coin and the coin will land heads up.
impossible
unlikely
as likely as not
likely
Find the experimental probability:
Roll dice: 1, 3, 3, 4, 4
P(1) =
3/5
1/6
2/5
1/5
A tree diagram is useful in determining the __________of a probability experiment.
result
possible outcomes
event
none of the above
If I flip 2 coins, what is the probability of getting 2 heads?
1/3
1/2
1/4
1/5
You pick a marble from this bag.
What is the probability you will choose either a black or a white marble?
*remember to simplify*
3/5
4/10
3/10
6/10
What's the complement of drawing a blue marble written as a percent?
33.3%
66.67%
8/12
80%
Is the event INDEPENDENT or DEPENDENT?
Amy plays card games. She picks a card at random. Then without putting the first card back, he picks a second card at random.
Independent
Dependent
Cindy flips a coin once, records the result, then flips it again. Does this situation represent INDEPENDENT or DEPENDENT events?
Independent
Dependent
Is the event INDEPENDENT or DEPENDENT?
The spinner is spun twice. What is the probability that it lands on red first and then blue?
Independent
Dependent
What is the probability of spinning the spinner twice and landing on 3 the first spin then landing on an even number the second spin?
P(3 and an even number) Simplify your answer
1/16
4/64
1/4
2/32
A letter from the word MATH is chosen at random, then a coin is flipped. What is the probability of choosing the letter 'm' then getting tails?
17/26
1/8
5/13
1/6
Is the event independent or dependent?
Given a standard deck of 52 playing cards, what is the probability of randomly drawing a 2 and then a 3 if the first card is not replaced?
dependent
independent
83%
50%
33%
17%
What is the probability of the arrow stopping on a consonant or one of the first 4 letters of the alphabet?
5/6
1/36
1/3
1/6
Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 12 absences should get approximately what score on the final exam?
60
92
70
76
The outside temperature and the amount of layers you wear.
If two quantities A and B exhibit a negative correlation, then as quantity A increases, quantity B would . . .?
stay the same
increase
decrease
If two quantities A and B exhibit a positive correlation, then as quantity A increase quantity B would . . .?
increase
decrease
stay the same
Students in a science class investigated how the speed of changes with the air temperature outside. The data is shown in the scatterplot.
Based on the scatterplot, what is the best prediction of the speed of sound when the air temperate is 50 degrees C?
350 m/s
362 m/s
358 m/s
348 m/s
The scatterplot shows the number of people in each of 8 different households and the average amount of money each household spent on groceries.
Based on the scatterplot, what is the best prediction of the average amount of money spent on groceries for a household that has 7 people?
$240
$190
$210
$285
Which scatterplot suggests a linear relationship between x and y?
Determine the line of best fit for the data shown.
y = −10.63x−3.80
y=3.88x−10.63
y=3.87x+0.90
y=3.88x−11
The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?
A) The more books students read, the lower their English grade.
B) The more books students read, the higher their English grade.
C) The fewer books students read, the higher their English grade.
D) No relationship exists between the number of books students read and their English grades.
Estimate the correlation coefficient for this scatterplot.
A) r = 1.2
B) r = 0.89
C)r = 0
D) r = -0.89
A department store has several retail outlets across the state. Each store has a different number of employees, and consequently produces varying amounts of annual sales.
Which equation is the regression equation for this situation?
y = 20x
y = 21x
y = 21.4x - 10.1
y = 21.4x - 11.3
The annual profits for a company are given in the following table, where x represents the number of years since 1992, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the year in which the profits would reach 378 thousand dollars.
2029
2014
2003
8753
Based on the scatter plot, which statement best describes the trend?
As the daily temperature increases, the number of beach visitors increases.
As the daily temperature decreases, the number of beach visitors increases.
As the daily temperature increases, there is no change in the number of beach visitors
As the daily temperature increases, the number of beach visitors decreases
Estimate the correlation coefficient
r = 1
r = -1
r ≈ -0.8
r ≈ 0.8
r ≈ -0.5
Describe the correlation:
r = -0.98
Strong positive
Weak positive
Strong negative
Weak negative
Find the equation of the line of best fit
for the given data.
y = 163.41x+1.49
y =- 163.41x+ 4.19
y =- 4.19x+163.41
y = 4.19x -163.41
The table shows the height of a tree for various years after it was planted. Calculate the line of best fit where x = age and y = height.
y = .89x - 3.42
y = .96x + 8.47
y = .78x + 5.35
y = .56x + 6.23
What is the equation of the line of best fit?
y= 2x+3
y=3x+2
y= 21x +3
y= −21x +3
What is the equation of the line of best fit?
y= −21x + 6
y= 21x +6
y= 6x + 2
y = -2x +6
which scatterplot shows the correct trend line (line of best fit) for the relationship showing the number of Visitors of a library and the number of books checked out?
W
X
Y
Z
The line of best fit for the height of a tree for various years after it was planted is
y = .96x + 8.47
Predict the height of a tree 30 years after it was planted.
22 feet
23 feet
36 feet
37 feet
Caroline weighs her new puppy every month to see how much it has grown. If age is a and weight is W, which of these is the correct equation for the line of best fit?
W = 3.6 + 8.9
W = 3.6a + 8.9
a = 8.9W + 3.6
W = 8.9a + 3.6
Identify the shaded area...
A∩B
A∪B
A'∩B'
A'∪B'
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?
{3, 5, 7}
{2, 3, 5, 7}
{2, 3, 5, 7, 9}
{1, 2, 3, 5, 7, 9}
Which of the following is not an element of A = {b, g, 5, 8, 12}}
c
12
g
8
If you are picking a card randomly from a deck of cards, the events of picking a jack and picking a heart are ...
Mutually Exclusive
Not Mutually Exclusive
If you are picking a card randomly from a deck of cards, the events of picking an ace and picking a ‘3’ are ...
Mutually Exclusive
Not Mutually Exclusive
When rolling a single die, the events of rolling an even number and rolling a ‘5’ are ...
Mutually Exclusive
Not Mutually Exclusive
If a spinner is numbered 1 – 8, when you spin it the events of spinning an even number and a number less than 4 are ...
Mutually Exclusive
Not Mutually Exclusive
Is the event independent or dependent?
A bag contains 5 striped cubes, 3 dotted cubes, 4 white cubes and 3 red cubes. What is the probability of drawing a red cube, replacing it, and then drawing a white cube?
independent
dependent
Is the event independent or dependent?
Kenzi has a fun-size bag of SweetTarts™. Inside the bag are 4 pink, 1 blue, 2 yellow, 3 purple and 2 green SweetTarts™. What is the probability of drawing a yellow SweetTart™ three times in a row if each SweetTart™ selected is eaten before the next SweetTart™ is drawn?
dependent
independent
Is the event independent or dependent?
Zach has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Zach spins red on the spinner and picks a red marble out of the bag?
independent
dependent
Is the event independent or dependent?
Given a standard deck of 52 playing cards, what is the probability of randomly drawing a 2 and then a 3 if the first card is not replaced?
dependent
independent
Negate the statement:
"I love Geometry"
Geometry I love
If I love Geometry, then I do not love Geometry
If and only if I love Geometry
I do not love Geometry
What symbol represents a disjunction?
∨
∧
⊥
≅
What symbol represents a conjunction?
∨
∧
⊥
∼
A conjunction is true only if
Both statements are false
Both statements are true
One statement is true
One statement is false
A disjunction is true if
Both statements are false
Only one statement is true
At least one statement is true
Let p and q represent the following simple statements;
p: Frank plays football.
q: Jamir runs track.
r: Edwin plays soccer.
Write each compound statements in symbolic form.
Edwin plays soccer or Frank does not play football.
r⟶∼p
r∨∼p
r∧∼p
r⟷∼p
Let p and q represent the following simple statements;
p: Frank plays football.
q: Jamir runs track.
r: Edwin plays soccer.
Write each compound statements in symbolic form.
Frank plays football and Jamir runs track.
p→q
p↔q
p Λ q
p v q
The two components of a conditional statement are the hypothesis and conclusion.
True
False
If I am tired, then I will take a nap.
Identify the hypothesis.
I am tired
I will take a nap
If I go to Dairy Queen, then I will get an ice cream cone.
Identify the conclusion.
I go to Dairy Queen
I will get an ice cream cone
To write the ____, negate and switch the hypothesis and conclusion.
Conditional
Converse
Inverse
Contrapositive
To write the ____, switch the hypothesis and conclusion.
Conditional
Converse
Inverse
Contrapositive
To write the ____, negate the hypothesis and conclusion.
Conditional
Converse
Inverse
Contrapositive
Original: If I have a library card, then I can check out books.
What is this statement called: If I do not have a library card, then I cannot check out books.
Conditional
Converse
Inverse
Contrapositive
Original: If you lift weights, then you are strong.
What is this statement called: If you are strong, then you lift weights.
Conditional
Converse
Inverse
Contrapositive
Original: If a fruit is yellow, then it is a banana.
What is this statement called: If a fruit is not yellow, then it is not a banana.
Conditional
Converse
Inverse
Contrapositive
Original: If you smoke cigarettes, your breath will stink.
What is this statement called: If your breath does not stink, then you do not smoke cigarettes.
Conditional
Converse
Inverse
Contrapositive
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...
Passing score of the quiz is 50 points. Linda got a score of 55.
What is the possible conclusion?
Linda did not passed the quiz.
Linda passed the quiz.
Linda will get a grade of 95.
Linda will be promoted to another grade.
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy
Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."
What is the inverse of this statement?
If the polygon is not a quadrilateral, then it is not a trapezoid.
If the polygon is not a trapezoid, then it is not a quadrilateral.
If the polygon is a trapezoid, then it is a quadrilateral.
A rectangle is also a quadrilateral.
Using the Law of Detachment, draw a conclusion based on the statements given:
If a plane flies to China, then it will be a long flight. Sarah bought a ticket to China.
Sarah will get stuck in the security line.
Sarah will have a long flight.
Sarah will need to bring a neck pillow and headphones.
Sarah will get stuck with a middle seat on the plane.
Using the Law of Syllogism, write a new conditional statement that follows from the pair of true statements.
If you study, then you will pass the test. If you pass the test, then you will pass the class.
If you study, then you will pass the class.
If you pass the test, then you should study.
If you pass the class, then you will pass the test.
If you study, then you will pass the test.
p
∴q
Which law is modeled?
q→r
∴p→r
Which law is modeled?
If you are at least 25 year old, then you can rent a car.
You can rent a car
If my mom stays home, then she won't buy shoes.
If she doesn't buy shoes, then she'll wear an old pair.
Therefore if my mom stays home, then she will wear an old pair of shoes.
What is the Hypothesis of this conditional statement: If you live in Nashville, then you live in Tennessee
You live in Nashville
You live in Tennessee
If you give me twenty dollars, then I will be your best friend.
Conclusion: you give me twenty dollars
Conclusion: I will be your best friend
Conclusion: then you probably should reevaluate your life
Conclusion: if you have lots of friends
What is it hypothesis in the statement:" If today is Tuesday, then we have school."?
Tomorrow is Wednesday.
We have school.
Today is Tuesday.
We do not have school.
Rewrite the statement as a conditional statement.
"All dolphins are mammals."
If a dolphin, then a mammal.
If an animal is a dolphin, then it is a mammal.
If an animal is a mammal, then it is a dolphin.
If an animal is not a mammal, then it is not a dolphin.
B∪D={0,1,2,3,4,6,8}
B∪D={1,3,4,5,7,9}
B∪D={0,1,2,3,4,5,6,7,8,9}
B∪D={4}
B∩D={1,3}
B∩D=ϕ
B∩D={5,7}
B∩D={4}
Which of the following pairs of events is mutually exclusive?
Cards: Aces and Spades
Two dice: Odd and even
Sit down and stand up
Sit down and scratch your nose
One card is drawn at random from a 52-deck of cards. Find the probability that it is a diamond or a King.
134
132
What are non mutually exclusive events?
Events that can happen at the same time
Events that cannot happen at the same time
Events that add up to 100%
Rolling a prime number and rolling an even number on a normal six-sided die are
Mutually exclusive
Not mutually exclusive
The outcomes for rolling two number cubes numbered 1 through 6 are shown above. What is the probability the sum of the number cubes will be 7 or 4?
121
61
41
3611
Turning left or turning right when crossing on the streets.
mutually exclusive events
non-mutually exclusive events
Two events that cannot happen both at the same time?
independent events
mutually exclusive events
dependent events
non-mutually exclusive events
A ________ _____ consists of two or more events.
(a)
