🎓 Mathematics • Probability
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Probability Calculator
Computes probability of single events, combinations nCr, and permutations nPr with factorial expansions.
Studio-Grade Mathematical Suite
Math & Statistics Calculator
High-precision percentage, fraction arithmetic, ratio scaling, dataset averages, statistical variance, and combinatorics.
Common Scenarios:
Permutations nPr (Order Matters)
720
Combinations nCr (Order Does Not Matter)
120
Formulas:
What is Probability?
Probability quantifies the likelihood of an event occurring, expressed as a number between 0 (impossible) and 1 (certain).
Formula & Step-by-Step Calculation
P(A) = Favorable Outcomes / Total Outcomes
Classical definition of probability for equally likely outcomes.
Worked Step-by-Step Examples
Example 1
Rolling a 4 on a standard 6-sided die
Solution: 1/6 (≈ 16.67%)
• 1 favorable outcome out of 6 possible sides = 1/6
Common Real-World & Academic Use Cases
- ✓ Risk assessment and actuarial tables
- ✓ Lottery odds calculations
- ✓ Game design mechanics
How to Use the Probability Calculator
1
Input Parameters
Enter n and r or outcome counts.
2
View Probability
Inspect decimal, percentage, and factorial expansions.
Frequently Asked Questions
Q: Can probability be negative?
No, probability is always bounded strictly between 0 and 1 (0% to 100%).