AnswersSS Integrated Math IIB 2026Performance Task: Applying Probability Concepts

Performance Task: Applying Probability Concepts — Unit test Answers

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1
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Information about how the students at Vista View High School got to school this morning is shown in the table.

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A
11
B
74
C
111
D
114
2
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The weather report states that the probability it will rain on Wednesday is 30 percent and the probability that it will rain on Saturday is 60 percent.What is the probability that it will rain on Wednesday and on Saturday?

A
2 percent
B
18 percent
C
60 percent
D
90 percent
3

A burrito restaurant recorded 200 customer orders. Each order was categorized by whether it was takeout or dine-in and whether it was placed on a weekday or a weekend.The results are shown below: Using this table, decide which statement about independence is true. Which statement is correct?

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A
The events “takeout” and “weekday” are independent.
B
The events “weekday” and “weekend” are independent.
C
The events “order type” (takeout or dine-in) and “day of the week” (weekday or weekend) are not independent.
D
The events “takeout” and “dine-in” are independent.
4

Ryder shot a model rocket over an area that consists of two grassy areas, shown in green, and an area with no grass, shown in white.

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A
0.2
B
0.3
C
0.4
D
0.6
5

Nine wolves, eight female and one male, are to be released into the wild three at a time.If the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed?

A
28 ways
B
36 ways
C
56 ways
D
84 ways
6

Circle B is inside of circle A.

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A
A = {states in the US}; B = {world countries}
B
A = {plays by Shakespeare}; B = {playwrights}
C
A = {animals}; B = {mammals}
D
A = {polygons}; B = {circles}
7

The spinner is equally likely to land on any of the five sections.

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A
One-fifth
Option A
B
Two-fifths
Option B
C
Three-fifths
Option C
D
Four-fifths
Option D
8

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.

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A
I
B
II
C
III
D
IV
9

A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Two marbles are drawn from the bag.Which expression represents the probability that one of the marbles is red and the other is blue?

A
StartFraction 30 P 2 Over 50 P 2 EndFraction
Option A
B
StartFraction 30 C 2 Over 50 C 2 EndFraction
Option B
C
StartFraction (10 C 1) (20 C 1) Over 50 C 2 EndFraction
Option C
D
StartFraction (10 P 1) (20 P 1) Over 50 P 2 EndFraction
Option D
10

Miriam is visiting five friends in her neighborhood, Louise, Mike, Nicole, Oscar, and Pascal. In each arrangement below, the first initial of each person’s name represents that person’s position as he or she is visited by Miriam.Which shows all the outcomes for this event if she visits with Nicole first and Louise last?

A
NMOPL, NOMPL, NPMOL
B
NLMOP, NLOMP, NMLOP, NMOLP, NOMNP, NONMP
C
NMOPL, NMPOL, NOPML, NOMPL, NPMOL, NPOML
D
NLMOP, NMLOP, NOLMP
11

A survey asked about the number of people who eat breakfast almost every day (B) and the number of people who buy cereal at least once a month (C). The results of the survey are shown in the Venn diagram.

Question illustration
A
StartFraction 11 Over 64 EndFraction
Option A
B
StartFraction 11 Over 53 EndFraction
Option B
C
StartFraction 53 Over 64 EndFraction
Option C
D
StartFraction 53 Over 57 EndFraction
Option D
12

Belleville High School offers classes on three different foreign languages. Let A be the event that a student is in eleventh grade, and let B be the event that a student is enrolled in French class.

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A
A and B are independent events because P(A∣B) = P(A).
B
A and B are independent events because P(A∣B) = P(B).
C
A and B are not independent events because P(A∣B) ≠ P(A).
D
A and B are not independent events because P(A∣B) ≠ P(B).
13

Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference.Which choice represents the sample space, S, for this event?

A
S = {ABC, ABD, ACD, BCD}
B
S = {ABC, BCA, CDA, DAC}
C
S = {ABC, ABD, BAC, BDA, ACD, ADC, BCD, BDC}
D
S = {ABC, ABD, ACD, BCA, BCD, BDC, CAB, CBD, DAC, DBC}
14

A number cube has faces numbered 1 to 6.What is true about rolling the number cube one time? Select three options.S = {1, 2, 3, 4, 5, 6}If A is a subset of S, A could be {0, 1, 2}.If A is a subset of S, A could be {5, 6}.If a subset A represents the complement of rolling a 5, then A = {1, 2, 3, 4, 6}.If a subset A represents the complement of rolling an even number, then A = {1, 3}.

A
S = {1, 2, 3, 4, 5, 6}
B
If A is a subset of S, A could be {0, 1, 2}.
C
If A is a subset of S, A could be {5, 6}.
D
If a subset A represents the complement of rolling a 5, then A = {1, 2, 3, 4, 6}.
E
If a subset A represents the complement of rolling an even number, then A = {1, 3}.
15

Nico owns 11 instructional piano books. Two are beginner books, six are intermediate books, and three are advanced books.If two books are randomly chosen from the collection, one at a time, and replaced after each pick, what is the probability that he first chooses an advanced book and then chooses a beginner book?

A
StartFraction 5 Over 121 EndFraction
Option A
B
StartFraction 6 Over 121 EndFraction
Option B
C
Five-elevenths
Option C
D
Six-elevenths
Option D

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