AnswersAlgebra Essentials B CRUnit Test

Experimental vs. Theoretical Probability Answers

0 verified answers1 views
1
Free Preview

Nathan rolls a number cube and records the result of each roll in the table.Number CubeNumber RolledFrequency111216314420512617Which statements below represent the situation? Select three options.

A
The relative frequency of rolling a 4 is .
Option A
B
The experimental probability of rolling a 3 is greater than the theoretical probability of rolling a 3.
C
The experimental probability of rolling a 2 is greater than the theoretical probability of rolling a 2.
D
The relative frequency of rolling a 5 is .
Option D
E
The experimental probability of rolling a 1 is less than the experimental probability of rolling a 6.
2
Free Preview

A set of cards contains cards numbered 1 – 8. Mrs. Jacob’s class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?

A
111
B
125
C
143
D
250
3

Nadine conducted an experiment with four possible outcomes. Trevor conducted the same experiment, but he doubled the number of trials. Which statements are true? Select two options.

A
Trevor has more experimental outcomes than Nadine.
B
Trevor’s sample space is greater than Nadine’s.
C
Trevor’s experimental probability is more likely closer to the theoretical probability than Nadine’s.
D
Nadine’s experimental probability is more likely closer to the theoretical probability than Trevor’s.
E
Nadine has more experimental outcomes than Trevor.
4

Elijah is going to spin a spinner 180 times. He predicts that 60 of those spins will result in the spinner landing on the section labeled 3. Based on the theoretical probability, which best describes Elijah’s prediction?

Question illustration
A
Elijah’s prediction is exact because .
Option A
B
Elijah’s prediction is exact because .
Option B
C
Elijah’s prediction is high because .
Option C
D
Elijah’s prediction is low because .
Option D
5

Four students are determining the probability of flipping a coin and it landing head's up. Each flips a coin the number of times shown in the table below.StudentNumber of FlipsAna50Brady10Collin80Deshawn20Which student is most likely to find that the actual number of times his or her coin lands heads up most closely matches the predicted number of heads-up landings?

A
Ana
B
Brady
C
Collin
D
Deshawn
6

Prisha rolls a fair number cube multiple times and records the result of each roll. Her results are shown in the table.Number Cube NumberObserved Frequency118216324426516620How does the experimental probability of rolling a 3 compare with the theoretical probability of rolling a 3?

A
The experimental probability of rolling a 3 is greater than the theoretical probability of rolling a 3.
Option A
B
The experimental probability of rolling a 3 is less than the theoretical probability of rolling a 3.
Option B
C
The experimental probability of rolling a 3 is greater than the theoretical probability of rolling a 3.
Option C
D
The experimental probability of rolling a 3 is less than the theoretical probability of rolling a 3.
Option D
7

A set of face cards contains 4 Jacks, 4 Queens, and 4 Kings. Carlie chooses a card from the set, records the type of card, and then replaces the card. She repeats this procedure a total of 60 times. Her results are shown in the table.CardsType of CardObserved FrequencyRelative FrequencyJack24Queen16King20How does the experimental probability of choosing a Queen compare with the theoretical probability of choosing a Queen?

Question illustration
A
The experimental probability is 4 less than the theoretical probability.
B
The experimental probability is less than the theoretical probability.
Option B
C
The experimental probability is more than the theoretical probability.
Option C
D
The experimental probability is 4 more than the theoretical probability.
8

Luis rolled a number cube 60 times. He rolled the number 6 four times. Which is most likely the cause of the discrepancy between Luis’s experimental outcome and the predicted outcome?

A
He did not perform enough trials.
B
He performed too many trials.
C
He needs to add the number 6 to the number of times it occurred.
D
He needs to subtract the experimental outcome from the predicted outcome.
9

Frederick designed an experiment in which he spun a spinner 20 times and recorded the results of each spin. He spun a 4 five times. Which statements are true? Choose all that apply.

Question illustration
A
For the experimental outcomes to be closer to the predicted outcome, the number of trials should be increased.
B
For the experimental outcomes to be closer to the predicted outcome, the number of trials should be decreased.
C
If the number of trials is changed, the experimental probability also changes.
D
If the number of trials is changed, the theoretical probability also changes.
E
If the number of trials is changed, the number of experimental outcomes also changes.
10

James conducted an experiment with 4 possible outcomes. He determined that the experimental probability of event A happening is 10 out of 50. The theoretical probability of event A happening is 1 out of 4. Which action is most likely to cause the experimental probability and theoretical probabilities for each event in the experiment to become closer?

A
removing the last 10 trials from the experimental data
B
completing the experiment many more times and combining the results to the trials already done
C
including a fifth possible outcome
D
performing the experiment again, stopping immediately after each event occurs once

Did you find these answers helpful?