AnswersEAP-Algebra Functions and Data Analysis B CRTheoretical and Experimental Probability

Theoretical and Experimental Probability Answers

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A rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeters. A dart is randomly thrown at the board.

Question illustration
1
18%
2
25%
3
35%
5
50%
2
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Joe, Keitaro, and Luis play tennis. To decide who will play against each other in the first match, they put their names in a hat and choose two names without looking.What subset of the sample space, A, represents the complement of the event in which Joe plays in the first match?

A
A = {KL}
B
A = {KJ, KL}
C
A = {KL, LK}
D
A = {KJ, KL, LJ}
3

Jasmine rolls a number cube 72 times. The number 2 is rolled 13 times and the number 3 is rolled nine times.To the nearest whole percent, what is the experimental probability of rolling a 2 or 3?

A
7%
B
18%
C
22%
D
31%
4

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?

S
S = {PQR}
S
S = {PQR, PRQ, QPR, QRP, RPQ, RQP}
S
S = {PQ, PR, QR}
S
S = {PQ, QP, PR, RP, QR, RQ}
5

A cafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg rolls, or French fries. He uses a computer program to randomly select three dishes for Monday’s lunch.What is the theoretical probability that applesauce and broccoli will both be offered on Monday?

A
10%
B
20%
C
50%
D
80%
6

Two students from a group of eight boys and 12 girls are sent to represent the school in a parade.If the students are chosen at random, what is the probability that the students chosen are not both girls?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

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?

2
24 out of 504
6
60 out of 504
2
24 out of 84
6
60 out of 84
8

Four runners, Fran, Gloria, Haley, and Imani, compete on a relay team. Haley is the first runner in the relay. The other runners can run in any order.What is the sample space showing the possible orders of the other three runners?

S
S = {FGI, GFI, IFG}
S
S = {FGI, FIG, GFI, GIF}
S
S = {FGI, FIG, GFI, GIF, IFG, IGF}
S
S = {FGI, FIG, GFI, GIF, HFG, HGI, IFG, IGF}
9

April is randomly choosing five CDs to bring in her car from the following: 6 pop CDs, 8 rock CDs, and 10 R&B CDs.What is the complement of April choosing five pop CDs?

c
choosing five CDs where none of them are pop
c
choosing five CDs where not all of them are pop
c
choosing five CDs where at least one of them is pop
c
choosing five CDs where all of them are pop
10

three

Question illustration
T
The theoretical probability of spinning any one of the five colors is 20%.
T
The experimental probability of spinning blue is .
Option T
T
The theoretical probability of spinning green is equal to the experimental probability of spinning green.
T
The experimental probability of spinning yellow is less than the theoretical probability of spinning yellow.
I
If Yuri spins the spinner 600 more times and records results, the experimental probability of spinning orange will get closer to the theoretical probability of spinning orange.
11

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
12

The table shows the results of a survey in which 10th-grade students were asked how many siblings (brothers and/or sisters) they have.

Question illustration
6
65%
7
70%
7
75%
8
80%
13

Four runners, Fran, Gloria, Haley, and Imani, compete on a relay team. Haley is the first runner in the relay. The other runners can run in any order.What is the sample space showing the possible orders of the other three runners?

A
S = {FGI, GFI, IFG}
B
S = {FGI, FIG, GFI, GIF}
C
S = {FGI, FIG, GFI, GIF, IFG, IGF}
D
S = {FGI, FIG, GFI, GIF, HFG, HGI, IFG, IGF}
14

Which statements are true about Yuri’s experiment? Select three options.

A
The theoretical probability of spinning any one of the five colors is 20%.
B
The experimental probability of spinning blue is .
Option B
C
The theoretical probability of spinning green is equal to the experimental probability of spinning green.
D
The experimental probability of spinning yellow is less than the theoretical probability of spinning yellow.
E
If Yuri spins the spinner 600 more times and records results, the experimental probability of spinning orange will get closer to the theoretical probability of spinning orange.
15

A padlock has a four-digit code that includes digits from 0 to 9, inclusive.What is the probability that the code does not consist of all odd digits if the same digit is not used more than once in the code?

A
120 out of 5,040
B
120 out of 3,024
C
2,904 out of 3,024
D
4,920 out of 5,040
16

Dayshawn can choose two of his four t-shirts to take on a weekend trip.If the t-shirts are labeled A, B, C, and D, which choice represents the sample space, S, for the event?

A
S = {ABCD}
B
S = {ABCD, DCBA}
C
S = {AB, AC, AD, BC, BD, CD}
D
S = {AB, BA, AC, CA, AD, DA, BC, CB, BD, DB, CD, DC}
17

A real estate map shows a 100-acre property:

A
0.30
B
0.70
C
0.40
D
0.60
18

An insurance company predicts a 10% chance of an accident for drivers in a year. Out of 500 drivers, 65 report accidents.

A
It is equal to the theoretical probability.
B
It is greater than the theoretical probability.
C
It is less than the theoretical probability.
D
It cannot be determined.
19

The table shows the results of a survey in which 10th-grade students were asked how many siblings (brothers and/or sisters) they have.

Question illustration
A
65%
B
70%
C
75%
D
80%
20

A padlock has a four-digit code that includes digits from 0 to 9, inclusive.What is the probability that the code does not consist of all odd digits if the same digit is not used more than once in the code?

A
120 out of 5,040
B
120 out of 3,024
C
2,904 out of 3,024
D
4,920 out of 5,040

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