AnswersCR CCSS Math 2 S2 M2960OXTheoretical and Experimental Probability

Theoretical and Experimental Probability — Unit test Answers

23 verified answers3 views
21
Free Preview

Juanita has a storage closet at her shop with extra bottles of lotion and shower gel. Some are scented and some are unscented. If she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel.For the events "shower gel” and "scented” to be independent, what must be shown to be true?

A
P(lotion) = 42%
B
P(scented) = 42%
C
P(shower gel | scented) = 42%
D
P(scented | shower gel) = 42%
22
Free Preview

Four girls and six boys are in a Spanish club. Three of the people will be chosen at random to represent the group in a photograph.What is the probability that one girl and two boys will be chosen?

A
40%
B
50%
C
60%
D
70%
23

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.

Question illustration
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).
24

A prize bag contains four country music CDs, eight pop music CDs, and five classic rock CDs.What is the probability of pulling out a classic rock CD and then, without replacing it, pulling out a country music CD? Express your answer in decimal form, rounded to the nearest hundredth.

A
0.03
B
0.07
C
0.15
D
0.18
25

A three-digit personal identification number is chosen using the digits 1–9. The digits cannot be repeated.What is the approximate probability that the first digit will be 6?

A
0.00595
B
0.03571
C
0.11111
D
0.66667
26

A prize bag contains four country music CDs, eight pop music CDs, and five classic rock CDs.What is the probability of pulling out a classic rock CD and then, without replacing it, pulling out a country music CD? Express your answer in decimal form, rounded to the nearest hundredth.

A
0.03
B
0.07
C
0.15
D
0.18
27

Which statements are true? Select three options.

A
P(F|C) = 0.75
B
P(C|F) = 0.25
C
P(C∩F) = 0.09
D
P(C∩F) = P(F∩C)
E
P(C|F) = P(F|C)
28

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
29

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

Question illustration
A
11
B
74
C
111
D
114
30

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
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
31

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

Question illustration
A
One-fifth
Option A
B
Two-fifths
Option B
C
Three-fifths
Option C
D
Four-fifths
Option D
32

There are 22 participants in a spelling bee. In how many ways can the top 5 participants finish? Use the formula for permutations to find your answer.

2
26,334
6
632,016
3
3,160,080
5
5,153,632
33

There are 5 customers currently present in a coffee shop. Three of the customers are waiting in line at the front register. How many different lines of customers are possible?

A
6
B
10
C
60
D
120
34

Hana has a bag containing one red (R), one blue (B), and one yellow (Y) tile. She draws two tiles out of the bag, one after the other. Which explanation and tree diagram represent a pair of dependent of events?

A
Once a tile is chosen, it can be chosen again:
Option A
B
Once a tile is chosen, it cannot be chosen again:
Option B
C
Once a tile is chosen, it cannot be chosen again:
Option C
D
Once a tile is chosen, it can be chosen again:
Option D
35

A survey was taken of children between the ages of 10 and 17 about how many siblings they have and whether they have a pet. The results of the survey are shown in the table.

Question illustration
A
Out of the 125 children who do not have a pet, 18 of them have 2 siblings.
B
Out of the 97 children who have 1 pet, 40 of them do not have any siblings.
C
Out of the 125 children who do not have any siblings, 34 of them have a pet.
D
Out of the 97 children who have 1 sibling, 40 of them do not have a pet.
36

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?

Question illustration
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.
37

A number cube has faces numbered 1 to 6.What is true about rolling the number cube one time? Select three options.

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}.
38

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?

Question illustration
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.
39

The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5 percent chance that a customer buy apples and carrots, and a 17 percent chance that a customer buys apples or carrots.What is the probability of a customer buying carrots?

A
1.4 percent
B
5.0 percent
C
10.0 percent
D
11.4 percent

Did you find these answers helpful?

More from this Course

Quiz
15 verified answers

Unit Test

Quiz
31 verified answers

Unit Test

Quiz
26 verified answers

Chapter 12 Unit TEST: Surface Area and Volume