Probability Calculator
Calculate probabilities for various scenarios including combinations, permutations, and conditional probability.
How to Use This Calculator
- Select the type of probability calculation
- Enter the required values (sample space, events, etc.)
- Choose any additional parameters if needed
- Click Calculate to get your probability result
Probability Formulas
- Basic Probability: P(A) = (favorable outcomes)/(total outcomes)
- Conditional Probability: P(A|B) = P(A∩B)/P(B)
- Combinations: C(n,r) = n!/(r!(n-r)!)
- Permutations: P(n,r) = n!/(n-r)!
- Addition Rule: P(A∪B) = P(A) + P(B) - P(A∩B)
Types of Probability
- Classical Probability (theoretical)
- Empirical Probability (experimental)
- Subjective Probability (personal belief)
- Conditional Probability (dependent events)
Applications
- Risk Assessment
- Quality Control
- Game Theory
- Statistical Analysis
- Decision Making
Important Considerations
- Probability ranges from 0 to 1
- Consider independence of events
- Account for mutually exclusive events
- Verify sample space completeness
Tips for Accuracy
- Define events clearly
- Identify all possible outcomes
- Consider order importance
- Verify assumptions
Basic Probability
Share: