Probability Calculator
Calculate probabilities for single events, multiple events, combinations, permutations, dice rolls, and card draws. Perfect for statistics, games, and decision-making.
🎯 Quick Probability Examples
Single Event Probability
Common Examples
Probability Formula
P(Event) = Favorable Outcomes ÷ Total Outcomes
Probability Calculator - Master Chance and Uncertainty
📊 How to Use This Probability Calculator
- • Choose calculation type based on your probability problem
- • Enter required values in the appropriate fields
- • Use quick examples for common scenarios
- • Click calculate to see detailed results
- • View probability in multiple formats (decimal, percentage, fraction, odds)
- • Share or export your calculations
🎯 Key Features
- • Five calculation modes for different probability types
- • Single event and multiple event probabilities
- • Combinations and permutations calculator
- • Dice roll and card draw probabilities
- • Visual probability indicators and levels
- • Share and export functionality
Understanding Probability Calculations
Probability is the measure of the likelihood that an event will occur. It quantifies uncertainty and is fundamental to statistics, gambling, risk assessment, and everyday decision-making. Our calculator helps you understand and compute probabilities for various scenarios.
Basic Probability: P(Event) = Favorable Outcomes ÷ Total Outcomes
Multiple Events: P(A and B) = P(A) × P(B) for independent events
Combinations: nCr = n! ÷ (r! × (n-r)!)
Permutations: nPr = n! ÷ (n-r)!Single Event
Calculate basic probabilities for single events like coin flips, dice rolls, or card draws.
Multiple Events
Calculate probabilities for multiple events including AND, OR, and NOT scenarios.
Combinations
Calculate combinations and permutations for selection and arrangement problems.
Frequently Asked Questions
What's the difference between combinations and permutations?
Combinations (nCr) consider selections where order doesn't matter, while permutations (nPr) consider arrangements where order does matter. For example, choosing 3 people for a committee uses combinations, but arranging 3 people in specific roles uses permutations.
How do independent and mutually exclusive events differ?
Independent events don't affect each other's probabilities (like flipping two coins). Mutually exclusive events cannot occur together (like rolling a 1 and a 6 on a single die). For independent events, P(A and B) = P(A) × P(B). For mutually exclusive events, P(A or B) = P(A) + P(B).
What do the different probability formats mean?
Probability can be expressed as a decimal (0.5), percentage (50%), fraction (1/2), or odds (1 to 1). All represent the same likelihood but in different formats useful for different contexts.
Games & Gambling
Calculate probabilities for dice games, card games, and gambling scenarios to make informed decisions.
Statistics & Research
Essential for statistical analysis, research studies, and data science probability calculations.
Risk Assessment
Evaluate risks, make predictions, and assess uncertainties in business and personal decisions.