Experimental & Theoretical Probability
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by Hannah Ryan
| 22 Questions
Note from the author:
Statistics
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Pink
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Blue

# Spin the wheel 10 times and record how many times the spinner lands on each color.

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# Drag the movable points below to display how likely it was for the spinner to land on each color.

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(Select all)
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D

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# Theoretical Probability is what is expected to happen based on the possible outcomes, assuming equally likely events.

"What you expect to happen, but isn't always the case."

# Flip the coin below 10 times and record the number of times you land on Heads.

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# Experimental Probability is the result of an experiment or simulation after a large number of times.

"The probability determined from the results of an experiment."
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# What is the experimental probability fraction?

# Heads / Total # of Flips

[Simplify Fraction]
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# What is the experimental probability ratio?

# Heads : # Total Flips

# Roll the die ten times and record the numbers in the table.

1st: Click "Reset" and count the number you see for Trial #1
2nd: press "Roll" to view Trials 2 - 10.
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How many times did the #1 occur?
What is the Exp. Prob. Fraction?
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How many times did the #2 occur?
What is the Exp. Prob. Fraction?
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How many times did the #3 occur?
What is the Exp. Prob. Fraction?
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How many times did the #4 occur?
What is the Exp. Prob. Fraction?
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How many times did the #5 occur?
What is the Exp. Prob. Fraction?
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How many times did the #6 occur?
What is the Exp. Prob. Fraction?
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# What do you think will happen to the Experimental Probability if you were to increase the number of times you rolled the die?

The experimental probability would move farther from the theoretical probability.
The experimental probability would reach closer to the theoretical probability.
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# Predict how many times you rolled a 3 or a 6.

Exactly 200 times.
Around 200 times.
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# What is the Theoretical Probability that you roll a number less than 3.

[Select all that apply]
2/6
3/6
1/3
1/2
≈ 33%
≈ 50%

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