Probability Calculator

Calculate the probability of a single event, or combine two independent events.

Reviewed by the WorldCalcs team · Methodology · Last reviewed: June 2026

Result

0.1667

= 16.67%

What is a probability calculator?

Probability measures how likely something is, from 0 (impossible) to 1 (certain). This calculator finds the probability of a single event, and combines two independent events to show the chance that both happen, that at least one happens, or that neither happens.

How it's calculated

For a single event, probability = favorable outcomes / total possible outcomes. For two independent events A and B (where one does not affect the other): both happen P(A and B) = P(A) × P(B); at least one happens P(A or B) = P(A) + P(B) − P(A) × P(B); neither happens = (1 − P(A)) × (1 − P(B)).

Example

Rolling a 4 on a die: 1 favorable / 6 total = 0.1667, or 16.67%. Flipping two coins (each heads = 0.5): both heads = 0.5 × 0.5 = 0.25; at least one head = 0.5 + 0.5 − 0.25 = 0.75; no heads = 0.5 × 0.5 = 0.25.

All calculations happen in your browser. Nothing is sent, stored, or tracked.

Results are estimates and may contain errors — for general information only, not professional advice. Always verify before relying on them. Disclaimer

How to use

Choose Single event and enter favorable / total outcomes, or choose Two independent events and enter each probability (0–1, or with a % sign).

The two-event mode returns the AND, OR, neither, and exactly-one probabilities, assuming the events do not influence each other.

Frequently asked questions

How do I calculate simple probability?+

Divide favorable outcomes by total possible outcomes. One 6 on a die is 1 / 6 = 0.167.

What does "independent events" mean?+

Two events are independent when one happening does not change the odds of the other, like separate coin flips. The two-event formulas here assume independence.

How do I find the probability of both events?+

Multiply them: P(A and B) = P(A) × P(B), for independent events.

How do I find the probability of either event?+

P(A or B) = P(A) + P(B) − P(A) × P(B). You subtract the overlap so it is not counted twice.

Can probability be more than 1 or 100%?+

No. A valid probability is between 0 and 1 (0% to 100%). If you get more, an input is wrong.

What is the probability of neither event?+

(1 − P(A)) × (1 − P(B)) — the chance both fail to happen.