Dice Probability Experiment
Rolling Dice and Recording Outcomes
Explore probability concepts by rolling virtual dice and recording the outcomes. Observe how the experimental probability approaches the theoretical probability with more rolls!
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Current Results:
Roll the dice to see the outcomes and probability distribution.
The Science Behind Dice Probability
Key Concepts:
Probability is the measure of how likely an event is to occur:
- Theoretical probability: Expected likelihood based on possible outcomes (for two dice: 7 is most likely at 16.67%)
- Experimental probability: Actual results from performing experiments
- Law of Large Numbers: As more trials are performed, experimental probability approaches theoretical probability
Dice Probabilities:
With two standard 6-sided dice:
- There are 36 possible outcomes (6 × 6)
- The sum of 7 has the highest probability (6/36 = 16.67%)
- Sums of 2 and 12 have the lowest probability (1/36 = 2.78% each)
- The probability distribution forms a symmetric triangular pattern
Real-world Applications:
Understanding probability is essential in statistics, risk assessment, game design, finance, and many scientific fields where predicting outcomes is important.
