AnswersHCISD-Mathematical Models with Applications B-CR SUMMERExperimental vs. Theoretical Probability

Experimental vs. Theoretical Probability Answers

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During Samuel’s experiment, the experimental probability was 0.25. What else must be true about the experiment?

A
The experimental probability of the outcome is .
Option A
B
The experiment has four possible outcomes.
Option B
C
The theoretical probability of the outcome is .
Option C
D
four trials were run during the experiment.
Option D
2
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B =

Answer not available
3

The theoretical probability is 1/6. The experimental probability is 1/6.The theoretical probability is 1/5. The experimental probability is 1/6.The theoretical probability is 1/6. The experimental probability is 1/5.The theoretical probability is 1/5. The experimental probability is 1/5.

A
The theoretical probability is 1/6. The experimental probability is 1/6.
B
The theoretical probability is 1/5. The experimental probability is 1/6.
C
The theoretical probability is 1/6. The experimental probability is 1/5.
D
The theoretical probability is 1/5. The experimental probability is 1/5.
4

Emma conducted an experiment in which she rolled a six-sided, fair number cube 300 times. How many times would you predict she rolled a 6?

Answer:

A number cube has six sides. The probability of landing on any of the numbers is equal. The theoretical probability of rolling a 6 is 1/6. I expect a 6 to be rolled (1/6)(300), or 50 of 300 times.

5

A =

Answers:
Selection 1:1/5
Selection 2:2/15
6

A number cube is rolled 60 times. The results of those 60 trials are recorded in the table. Complete the table.

Answers:
A number cube is rolled 60 times. The results of those 60 trials are recorded in the table. Complete the table.:1/5
A number cube is rolled 60 times. The results of those 60 trials are recorded in the table. Complete the table.:2/15
7

Which statements are true? Check all that apply.

A
As the number of trials increases, experimental probability is closer to theoretical probability.
B
As the number of trials increases, theoretical probability changes to more closely match the experimental probability.
C
As the number of trials increases, there is no change in the experimental probabilities.
D
As the number of trials increases, there is no change in the theoretical probabilities.
8

Question text not available

Answer:

A number cube has 3 even numbers. Each even number has a theoretical probability of 1/6. In 60 rolls, an even number could come up ten times. Since there are 3 even numbers, the total predicted value is 30. So 20 is a low prediction.

9

Maya wants to perform an experiment with a spinner labeled A, B, and C. The theoretical probabilities for each section are: P(A) = ½, P(B) = ¼, and P(C) = ¼. Which spinner could she use?

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

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Experimental vs. Theoretical Probability

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