PROBABILITY SPINNER STUDIO
Probability Games Math Game
Customize a digital spinner to learn the difference between theoretical probability (what should happen) and experimental probability (what actually happens)!
How to Play
- 1Step 1: Choose how many slices you want your spinner to have (up to 10).
- 2Step 2: Click on any slice on the wheel to change its color.
- 3Step 3: Review the Theoretical Probability table to see the mathematical odds of landing on each color.
- 4Step 4: Click SPIN! The wheel will rotate and land on a random color.
- 5Step 5: Watch the Experimental Probability table update with your real-world results. Spin many times to see the law of large numbers in action!
Rules
- Theoretical Probability = (Number of slices of a certain color) ÷ (Total number of slices).
- Experimental Probability = (Number of times landed on a certain color) ÷ (Total number of spins).
- The law of large numbers states that as you spin more times, the experimental probability will get closer to the theoretical probability.
Top Tips!
“To really see the "Law of Large Numbers", try spinning the wheel just 5 times. Notice how the experimental results might look very different from the theoretical math. Then, spin it 50 more times. Watch as the experimental percentages drift closer and closer to the exact theoretical percentages!”
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Calculating Theoretical Probability
If your spinner has 8 slices, and 2 are Red and 6 are Blue, what is the theoretical probability of landing on Red?
- 1Count the total number of slices. There are 8 total slices.
- 2Count the number of Red slices. There are 2 Red slices.
- 3Write this as a fraction: 2/8.
- 4Simplify the fraction by dividing the top and bottom by 2. The result is 1/4.
- 5Convert to a percentage: 1/4 = 25%.
The theoretical probability of landing on Red is 1/4 or 25%.