Probability and Two-Way Tables — Unit test Answers

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Consider U = {x|x is a positive integer greater than 1}.Which is an empty set?

A
{x|x ∈ U and is prime}
Option A
B
{x|x ∈ U and 2x is prime}
C
{x|x ∈ U and can be written as a fraction}
Option C
D
{x|x ∈ U and 2x can be written as a fraction}
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Hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card.What is the probability that he pulls out a 3 first and then pulls out a 2 without replacing them?

A
StartFraction 1 Over 64 EndFraction
Option A
B
StartFraction 1 Over 56 EndFraction
Option B
C
StartFraction 3 Over 32 EndFraction
Option C
D
StartFraction 3 Over 28 EndFraction
Option D
43

2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The number 4 is outside of the circles.

Question illustration
A
II
B
I and III
C
I, II, and III
D
I, II, III, and IV
44

A briefcase has a three-digit lock code that does not include zero as a digit.What is the probability that the lock code consists of all even digits if the same digit is not used more than once in the lock code?

A
24 out of 504
B
60 out of 504
C
24 out of 84
D
60 out of 84
45

Find P(Y|B) from the information in the table.

Question illustration
A
0.2
B
0.3
C
0.4
D
0.5
46

A study found that 23% of the cars manufactured last year were SUVs, 13% of the cars manufactured were white, and 2% of the cars manufactured were white SUVs.To the nearest whole percent, what is the probability that a car is an SUV, given that it is white?

A
9%
B
15%
C
21%
D
57%
47

Which statements are true about x? Select three options.

A
x ∈ B ⋃ C
B
x ∈ B ∩ C
C
x ∈ A ⋃ C
D
x ∈ A ∩ C
E
x ∈ A
48

The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.

Question illustration
A
4
B
6
C
36
D
38
49

In the Venn diagram, consider U = {students in 10th grade at Lee High School}.The diagram shows the electives chosen by the students in the 10th grade.

Question illustration
A
8
B
11
C
14
D
17
50

Patty, Quinlan, and Rashad want to be club officers. The teacher who directs the club will place their names in a hat and choose two without looking. The student whose name is chosen first will be president and the student whose name is chosen second will be vice president.Which choice represents the sample space, S, for this event?

A
S = {PQR}
B
S = {PQR, PRQ, QPR, QRP, RPQ, RQP}
C
S = {PQ, PR, QR}
D
S = {PQ, QP, PR, RP, QR, RQ}

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