Online Probability Calculator

Calculate probability of single, multiple, and conditional events. Determine odds for series of trials, independent coin tosses, and dice rolls.

Probability P(A)
0.25 (25%)
P(A) = m / n = 3 / 12
Complementary probability P(not A)0.75 (75%)
Odds in favor3 : 9
Odds against9 : 3

How to use

  1. Input number of favorable outcomes m and total possible outcomes n.
  2. For compound events, enter individual probabilities P(A) and P(B).
  3. Select event relationship (mutually exclusive, independent, union).
  4. View computed odds in decimals and percentage format.

Classical Probability Rules

Single event probability: P(A) = m / n (favorable outcomes / total sample space).

Independent events intersection: P(A and B) = P(A) * P(B).

Union of events (either occurs): P(A or B) = P(A) + P(B) - P(A and B).

Complementary event: P(not A) = 1 - P(A).

Calculation Methodology

Probability values strictly span [0, 1] (or 0% to 100%), adhering to Kolmogorov probability axioms.

Frequently Asked Questions

What is probability?

The mathematical likelihood of an event occurring, quantified as a value from 0 to 1.

How do you find the complement of an event?

Subtract the event probability from 1: P(A') = 1 - P(A).

What makes events independent?

Events are independent when the occurrence of one does not affect the probability of the other.

Can probability exceed 1 or 100%?

No, the upper limit for absolute certainty is exactly 1 (100%).

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