Probability Calculator
Calculate probabilities, combinations, and permutations
Result
Step-by-Step Solution
How to Use Probability Calculator
- Choose a calculation mode
- Enter your values (n, r, outcomes, etc)
- View the result with step-by-step formula
Frequently Asked Questions
What is the difference between combinations and permutations?
Combinations count selections where order doesn't matter (choosing 3 pizza toppings from 10). Permutations count arrangements where order matters (ranking 3 runners from 10). Permutations always produce larger numbers.
Can it handle very large numbers?
Yes. The tool uses precise arithmetic for factorials and large combinations. It handles values that would overflow standard calculators, displaying exact results.
How do I calculate the probability of rolling a specific dice combination?
Use the probability calculator with the number of favorable outcomes over total outcomes. For example, rolling a 7 with two dice: 6 favorable outcomes / 36 total = 16.67%.
What is Bayes' theorem and does this tool support it?
Bayes' theorem calculates updated probability given new evidence. The tool covers fundamental probability calculations including factorial, permutation, and combination operations.