Experimental vs. Theoretical Probability Answers

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1
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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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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.
3

A = 1/4✔ 1/51/62/15

A
1/4
B
1/5
C
1/6
D
2/15
4

B = 1/41/51/6✔ 2/15

A
1/4
B
1/5
C
1/6
D
2/15
9

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.
10

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.

11

Which did you include in your answer? Check all that apply.

A
A number cube has 3 even numbers.
B
Even numbers have a theoretical probability of 1/2, and (1/2)(60) is 30.
C
John’s prediction of 20 is too low.
15

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.

16

Check all that you included in your response.

A
The probability of landing on any of the numbers of a number cube is equal.
B
The theoretical probability of rolling a 6 is 1/6.
C
A 6 would be rolled about (1/6)(300), or 50, times.

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