Math

Probability Calculator

Calculate probability, combinations, permutations, and odds

FAQs

What is the difference between combinations and permutations?

Combinations count selections where order does not matter, while permutations count arrangements where order matters.

How to Use the Probability Calculator

Calculate the probability of single and combined events.

  1. Enter the number of favorable outcomes.
  2. Enter the total number of possible outcomes.
  3. See the probability as a fraction, decimal, and percentage.

Probability Formulas

Single Event

P(A) = favorable / total

Outcomes you want divided by all equally likely outcomes.

Example:

Input: rolling a 6

Calculation: 1 / 6

Result: ≈ 16.7%

Independent Events (AND)

P(A and B) = P(A) × P(B)

Multiply probabilities of independent events.

Example:

Input: two heads

Calculation: 0.5 × 0.5

Result: 25%

Real-World Use Cases

Games & Odds

Compute dice, card, and lottery odds.

Risk Estimation

Combine event probabilities.

Tips

Tips

  • Probabilities range from 0 (impossible) to 1 (certain).
  • Add for OR (mutually exclusive), multiply for AND (independent).
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