Probability Calculator

Event Relations & Probability Calculator

Calculate probabilities, unions, intersections, conditional probabilities, and test for independence between two events

Event RelationsStep-by-step SolutionsIndependence Testing

Event Relations Calculator

Enter the number of favorable outcomes for each event to calculate all probability relationships

Event A Favorable Outcomes

Event B Favorable Outcomes

Both Events (A ∩ B) Outcomes

Total Possible Outcomes

How to use:

• Enter the number of favorable outcomes for each event
• Enter the number of outcomes where both events occur simultaneously
• Enter the total number of possible outcomes in the sample space
• The calculator will compute all probability relationships and test independence

Results & Step-by-Step Solution

Detailed probability calculations and relationships

Enter values and click "Calculate" to see detailed probability analysis

📊 Understanding Event Relations

Master the fundamental concepts of probability theory through event operations and relationships

The probability that at least one of the events occurs. Calculated using the addition rule.

The probability that both events occur simultaneously. Used to test independence.

P(A|B) represents the probability of A occurring given that B has already occurred.

Enhance your probability learning with comprehensive resources and interactive tools

Master probability fundamentals with comprehensive learning materials and examples.

Explore Bernoulli trials and binomial probability distributions with interactive calculations.

Test your understanding with curated practice problems and detailed solutions.