AnswersCR - Algebra 2 26-27 - S2Finding Outcomes

Theoretical and Experimental Probability Answers

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1
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An insurance company predicts a 10% chance of an accident for drivers in a year. Out of 500 drivers, 65 report accidents.

I
It is equal to the theoretical probability.
I
It is greater than the theoretical probability.
I
It is less than the theoretical probability.
I
It cannot be determined.
2
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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}
3

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?

S
S = {ABCD}
S
S = {ABCD, DCBA}
S
S = {AB, AC, AD, BC, BD, CD}
S
S = {AB, BA, AC, CA, AD, DA, BC, CB, BD, DB, CD, DC}
4

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?

7
7%
1
18%
2
22%
3
31%
5

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

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%
8

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

A real estate map shows a 100-acre property:

A
0.30
B
0.70
C
0.40
D
0.60
11

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.
12

Five students, Adriana, Ben, Chandra, Diana, and Ernesto, would each like one of the four spots at the regional science fair. Their names are placed in a hat, and four names are chosen at random to decide who attends the fair.What is the theoretical probability that Chandra will be chosen as one of the science fair participants?

A
25%
B
60%
C
75%
D
80%
13

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%
14

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}
15

A dartboard consists of a circle inscribed in a square. The area of the circle is square inches. The area of the square is 64 square inches.

Question illustration
A
22%
B
25%
C
75%
D
79%
16

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%

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