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Probability Calculator

Calculate probabilities for single events, multiple events, combinations, and conditional probability. Essential tool for statistics and decision making.

Probability Calculator

Calculate probabilities for single events, multiple events, and conditional probability

Single Event

Multiple Events

Conditional

Combinations

Single Event Probability

Practical Examples

Example 1: Dice Roll

Probability of rolling a 6 on a standard die.

Example 2: Coin Toss

Probability of getting heads at least once in two coin tosses.

Single Events

Calculate probability of a single event occurring

Multiple Events

Calculate probability of multiple events occurring

Conditional Probability

Calculate probability of A given B has occurred

Combinations

Calculate combinations and permutations

How to Use the Probability Calculator

  1. Select the type of probability calculation you need
  2. Enter the required values in the input fields
  3. Click the calculate button to see your results
  4. View the detailed calculation explanation and probability formats
  5. Use the visualization to understand the probability distribution

Probability Formulas

  • Single Event: P(A) = Favorable Outcomes / Total Outcomes
  • AND Probability: P(A AND B) = P(A) × P(B) [if independent]
  • OR Probability: P(A OR B) = P(A) + P(B) - P(A AND B)
  • Conditional Probability: P(A|B) = P(A AND B) / P(B)
  • Combinations: C(n, r) = n! / (r! × (n - r)!)
  • Permutations: P(n, r) = n! / (n - r)!