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Probability Calculator

Probability, complement and odds for any event.

Best for: Games and risk, combining the odds of several conditions, and sanity-checking statistical claims.

Complete guide

Input

How it's calculated & sources
The Probability Calculator uses the standard, deterministic formula, so the same inputs always produce the same result. It runs entirely in your browser, so your inputs are never uploaded. Last reviewed June 2026.
Key assumptions
  • Equally likely outcomes

Free & no sign-up · runs entirely in your browser. Results are estimates for general information, not professional advice — verify important decisions with a qualified expert. Last reviewed June 2026.

How it works

P(event) = favorable outcomes / total outcomes. Complement P(not E) = 1 − P(E).

Example

Rolling a 6 on a die: 1/6 ≈ 0.1667 (16.67%)

Frequently asked questions

What is odds?+

Odds = P / (1 − P). A probability of 0.25 is 1:3 odds.

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Complete guide

Quick answers

Short, sourced answers to the questions people (and AI assistants) ask most.

What is Probability?
A probability calculator works out the chance of an event and combines the probabilities of independent events using AND and OR rules.
Why does Probability matter?
0 means impossible and 1 means certain; the same value can be shown as a fraction, a decimal or a percentage.
How is Probability calculated?
A single probability is favourable outcomes divided by total outcomes, between 0 and 1. For independent events both happening (AND), multiply: P(A) x P(B). For either happening (OR), add and subtract any overlap: P(A) + P(B) - P(A and B); when the events cannot both occur, the overlap is zero.
What are common probability mistakes?
Assuming events are independent when one affects the other.
When should you use the Probability Calculator?
Games and risk, combining the odds of several conditions, and sanity-checking statistical claims.

What is the Probability Calculator?

A probability calculator works out the chance of an event and combines the probabilities of independent events using AND and OR rules.

How the Probability Calculator works

A single probability is favourable outcomes divided by total outcomes, between 0 and 1. For independent events both happening (AND), multiply: P(A) x P(B). For either happening (OR), add and subtract any overlap: P(A) + P(B) - P(A and B); when the events cannot both occur, the overlap is zero.

What impacts results most

  1. 1.
    Favorable outcomes (High impact)The numerator of the probability.
  2. 2.
    Total outcomes (High impact)The denominator of the probability.

Key assumptions

  • Equally likely outcomes

Two-dice sum probabilities (36 equally likely outcomes)

21/362.8%
32/365.6%
43/368.3%
54/3611.1%
65/3613.9%
76/3616.7%
85/3613.9%
94/3611.1%
103/368.3%
112/365.6%
121/362.8%

Key terms

Independent events:
One outcome does not affect the other.
Mutually exclusive:
Events that cannot both happen at once.
Complement:
The chance an event does NOT happen, equal to 1 minus its probability.

Common mistakes to avoid

  • Assuming events are independent when one affects the other.
  • The gambler's fallacy — past independent results do not change the next one.
  • Mixing up AND (multiply) and OR (add), or double-counting the overlap in OR.

Keywords: probability, odds.

Sources: NIST/SEMATECH e-Handbook of Statistical Methods

Reviewed by the Free Tools Galaxy editorial team · Updated June 2026 · Calculated privately in your browser.

Frequently asked questions

Is the Probability Calculator free to use?+

Yes. Every tool on Free Tools Galaxy is 100% free, runs in your browser and requires no signup.

How accurate is the Probability Calculator?+

Probability Calculator uses the standard probability formula in double-precision arithmetic, so the same inputs always produce the same result and you can verify any figure by hand. It is an educational estimate — real-world outcomes depend on your actual rates, rules and assumptions.

Do you store my inputs?+

No. The Probability Calculator runs entirely in your browser. Nothing is uploaded or saved to a server.

Can I use the Probability Calculator on mobile?+

Yes — the interface is fully responsive and works on phones, tablets and desktops.

What are common mistakes to avoid?+

The most frequent mistake is mixing units. Double-check your inputs use a single, consistent unit before clicking Calculate.

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Probability, complement and odds for any event.

Try it: https://freetoolsgalaxy.com/tools/probability-calculator
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The fastest way is to use a free in-browser probability calculator: https://freetoolsgalaxy.com/tools/probability-calculator. Probability, complement and odds for any event.

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