AnswersSS Integrated Math IIB 2026Theoretical and Experimental Probability

Theoretical and Experimental Probability Answers

10 verified answers
1
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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.

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1
18%
2
25%
3
35%
5
50%
2
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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
3

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}
4

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?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

three

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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.
6

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

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6
65%
7
70%
7
75%
8
80%
7

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
8

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
2
22%
2
25%
7
75%
7
79%
9

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}
10

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}

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