Probability Calculator

Probability Calculator

Probability Type:

Single EventProbability of a single event occurring

Multiple EventsProbability of multiple independent events

ConditionalConditional probability (A given B)

Favorable Outcomes:

Total Outcomes:

Event 1 Probability (0-1):

Event 2 Probability (0-1):

AND ProbabilityBoth events occurring

OR ProbabilityEither event occurring

Joint Probability P(A∩B):

Given Probability P(B):

Options

Show Detailed CalculationDisplay the step-by-step calculation process

Show as PercentageDisplay probability as percentage

Show FractionDisplay probability as fraction

Probability Result

Detailed Calculation:

Formula will appear here after calculation

Probability Information:

Perform a calculation to see information

Note: This calculator computes probabilities for different scenarios. For dependent events, use the conditional probability option.

About This Probability Calculator

This calculator computes probabilities for single events, multiple independent events (AND/OR), and conditional probabilities. It handles all calculations client-side without sending your data anywhere.

How to Use This Calculator

Step-by-Step Guide:

1. Step 1: Select the probability type (Single, Multiple, Conditional)
2. Step 2: Enter the required values based on the selected type
3. Step 3: For multiple events, choose AND or OR probability
4. Step 4: Select display options (percentage, fraction)
5. Step 5: Click "Calculate" to see results
6. Step 6: View formula, detailed steps, and probability information

Calculation Types:

• Single Event: Probability = Favorable Outcomes / Total Outcomes
• Multiple Events (AND): P(A AND B) = P(A) × P(B)
• Multiple Events (OR): P(A OR B) = P(A) + P(B) - P(A AND B)
• Conditional: P(A|B) = P(A∩B) / P(B)

Example Calculations:

Single Event: Favorable Outcomes: 3 Total Outcomes: 6 Probability: 0.5 (50%) Multiple Events (AND): Event 1: 0.5 Event 2: 0.5 Result: 0.25 (25%) Conditional: P(A∩B): 0.2 P(B): 0.5 Result: 0.4 (40%)