Question 1: The table below shows the proportions for each type of flower sold at the gift shop. Which probability statement best describes the information provided?

Flowers at the Gift Shop
	Pink (P)	White (W)	Violet (V)
Rose (R)	0.14	0.1	0.09
Tulip (T)	0.21	0.09	0.37

A)	P(P|T)
B)	There is not enough information to calculate and compareP(P|T) and P(T|P).
C)	P(P|T)=P(T|P)
D)	P(P|T)>P(T|P)

Question 2: Using proper notation, show the relationship of the subset of all even numbers to the set of all numbers from 24 to 31.

A)	{24,26,28}{24,25,26,27,28}
B)	{26}{24,25,26,27,28,29,30,31}
C)	{24,26,28,30}{24,25,26,27,28,29,30,31}
D)	{24,25,26,27,28,29,30,31}{24,26,28,30}

Question 3: The table below shows the proportional breakdown of the types of donuts purchased by a customer.Using proper probability notation, how can the proportion of vanilla donuts be represented given the donuts have sprinkles?

	Sprinkles	Glazed
Vanilla	0.083	0.25
Chocolate	0.5	0.167

A)	P(S|V)0.142
B)	P(V|S)=0.166
C)	P(V|S)0.142
D)	P(S|V)=0.166

Question 4: Which of the following is not a subset to the set of the factors of 30?

A)	{3,5,8,30}
B)	{1,3,10}
C)	{2,5,6,15}
D)	{2}

Question 5: Based on the law of independence, which of the following shows dependent events?

A)	P(B)=0.38,P(C)=0.5,P(BC)=0.19
B)	P(R)=0.2,P(T)=0.87,P(RT)=0.104
C)	P(X)=0.14,P(Y)=0.6,P(XY)=0.084
D)	P(J)=0.8,P(K)=0.12,P(JK)=0.096

Question 6:For event A and event B to be independent, which of the following expressions must equal P(B|A)P(A)?

A)	P(A|B)P(B)
B)	P(AB)P(A|B)
C)	P(AB)
D)	P(AB)P(B)

Question 7: Determine if the following is an example of conditional probability or independence. "For those who have a savings account, the likelihood of bankruptcy decreases to 15%."

A)	Conditional probability; the probability of bankruptcy is not affected by the category of people with a savings account.
B)	Independence; the probability of bankruptcy is not affected by the category of people with a savings account.
C)	Independence; the probability of bankruptcy is affected by the category of people with a savings account.
D)	Conditional probability; the probability of bankruptcy is affected by the category of people with a savings account.

Question 8: A spinner contains evenly sized sections with the colors blue, green, black, brown, gray, orange, and yellow. Provide the proper notation for the sections that start with a, b, or g.

A)	P(E)={blue, green, black, brown, gray}
B)	P(E)={orange, yellow}
C)	P(E)={blue, black, brown}
D)	P(E)={blue, green, black, brown, gray, orange, yellow}

Question 9: Which of the following is an example of independence?

A)	selecting a second donut from a box after the first selected donut was consumed
B)	selecting a student from a middle school and then selecting a student from a high school
C)	obtaining a product of 12 from rolling a second die when the first die rolled a 4
D)	selecting a marble from a bag, not replacing it, and then selecting another marble from the bag

Question 10: Spinner A contains the numbers 1,2,3,and 4. Spinner B contains the numbers 1,2,3,4,and 5. Provide the proper notation for the event of spinning both spinners and find the sum.

A)	P(E)={1,2,3,4,5,6,7,8,9}
B)	P(E)={2,9}
C)	P(E)={2,4,6,8,10}
D)	P(E)={2,3,4,5,6,7,8,9}

Question 11: The following table shows the proportions for each type of toast selection at a local diner. How can the equation be arranged to solve for the proportion of toast with peanut butter given the toast is from white bread?

	Wheat Bread (E)	White Bread (I)
Jelly (J)	0.12	0.4
Peanut Butter (P)	0.04	0.16
Butter (B)	0.08	0.2

A)	P(P|I)=P(PI)/P(I)
B)	P(I|P)=P(PI)/P(I)
C)	P(P|I)=P(PI)/P(P)
D)	P(I|P)=P(PI)/P(P)

Question 12: Using the probability C as P(C) and the probability of D as P(D) where events C and D are independent, which of the following does not represent the definition of an intersection?

A)	P(CD)
B)	P(C)P(D)
C)	P(C|D)P(C)
D)	P(C and D)

Question 13: Which of the following is a step in the proof for the formula P(X|Y)=P(X and Y)P(Y)?

A)	P(X)-P(Y)=P(X and Y)
B)	P(X)P(Y)=P(X and Y)
C)	P(X)+P(Y)=P(X and Y)
D)	P(X)P(Y)=P(X and Y)

Question 14: The table below shows the proportions for each type of flower sold at the gift shop. Which probability statement best describes the information provided?

Flowers at the Gift Shop
	Pink (P)	White (W)	Violet (V)
Rose (R)	0.14	0.1	0.09
Tulip (T)	0.21	0.09	0.37

A)	P(R|V)
B)	P(R|V)>P(V|R)
C)	P(R|V)=P(V|R)
D)	There is not enough information to calculate and compareP(R|V)and P(V|R).

Question 15: The following table shows the proportions for each type of toast selection at a local diner. Given that the toast is made from wheat bread, what is the probability the toast has jelly?

	Wheat Bread (E)	White Bread (I)	Total
Jelly (J)	0.12	0.4	0.52
Peanut Butter (P)	0.04	0.16	0.2
Butter (B)	0.08	0.2	0.28
Total	0.24	0.76	1.00

A)	P(J|E)=P(JE)P(E)=0.120.24=0.5
B)	P(E|J)=P(JE)P(J)=0.40.520.77
C)	P(J|E)=P(JE)P(E)=0.40.241.67
D)	P(E|J)=P(JE)P(J)=0.120.520.23

Question 16: The table below shows the proportions for each type of flower sold at the gift shop. Which probability statement does notdescribe the information provided?

Flowers at the Gift Shop
	Pink (P)	White (W)	Violet (V)
Rose (R)	0.14	0.1	0.09
Tulip (T)	0.21	0.09	0.37

A)	The probability of selecting a rose is greater than the probability of selecting a tulip.
B)	The probability of selecting a white tulip is equal to the probability of selecting a violet rose.
C)	The probability of a flower being a rose, given that the flower is white, is approximately 53%.
D)	Given that a flower is a rose, the probability the flower is white is approximately 30%.

Question 17: The following table shows the proportion for each type of shift work at a diner. Which statement describesP(C|E)?

	Waiter/Waitress (W)	Cook (C)	Greeter (G)
Morning Shift (M)	0.4	0.2	0.05
Evening Shift (E)	0.22	0.1	0.03

A)	The value ofP(C|E)is the proportion of employees who are cooks given that they work the evening shift.
B)	The value of P(C|E) is the proportion of employees who are cooks given that they do notwork the evening shift.
C)	The value of P(C|E) is the proportion of employees who are both cooks and work the evening shift.
D)	The value of P(C|E)is the proportion of employees who work the evening shift given that they are cooks.

Question 18: Select the dependent events with correlation.

A)	Eating candy and the likelihood of getting a cavity
B)	Drawing a red card and the likelihood of drawing a black card without replacement
C)	Driving a blue car and the likelihood of getting a speeding ticket
D)	High attendance at school and the likelihood of a high GPA

Question 19. Which of the following shows the proper notation for the intersection of P(A)={-2,-1,3,5,6,10}and P(B)={-4,-3,0,5,8,10}?

A)	P(AB)={-4,-3,-2,-1,0,3,6,8}
B)	P(AB)={5,10}
C)	P(AB)={-4,-3,-2,-1,0,3,5,6,8,10}
D)	P(AB)={3,5,10}

Question 20: The table below shows the proportional breakdown of the types of donuts purchased by a customer.Using proper probability notation, how can the proportion of glazed donuts be represented?

	Sprinkles	Glazed
Vanilla	0.083	0.25
Chocolate	0.5	0.167

A)	P(G)=0.167
B)	P(G)=0.417
C)	The proportion cannot be determined from the given information.
D)	P(G)=0.25

Question 21: Suppose P(A)=25 and P(B)=34. If events A and Bare independent, what must P(AB)equal?

A)	45
B)	59
C)	310
D)	720

Question 22: Which of the following shows a valid form of a subset?

A)	{-3,-2}{-2,-1,0,1,2,3}
B)	{-1,4}{-2,-1,0,1,2,3}
C)	{1,3}{-2,-1,0,1,2,3}
D)	{-2,-1,0,1,2,3}{-2,-1,0,1,2,3}

Question 23: If a person spins the spinner shown below twice, what is the probability the spinner lands on orange after it already landed on green?