Probability Calculator

Calculate basic, combined, and conditional probabilities step by step.

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1 · Basic Probability — P(A) = favourable / total

2 · Combined Events — P(A), P(B) → P(A and B), P(A or B)

3 · Conditional Probability — P(A|B) = P(A∩B) / P(B)

4 · Dice & Coins

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What is a Probability Calculator?

A probability calculator helps you quantify the likelihood of events expressed as a value between 0 (impossible) and 1 (certain), often also shown as a percentage or a fraction. Probability is the foundation of statistics, data science, gambling, risk management, and everyday decision making. This tool covers the four most common probability computations: simple probability from counts, combined probability for two events, conditional probability (what's the chance of A given B has happened), and dice or coin flip probabilities.

All results include the formula used and a plain-English explanation so you can understand — not just copy — the answer. Everything runs in your browser; no data is sent to any server.


How to Use

  1. Section 1 — Basic: Enter the number of favourable outcomes and total outcomes, then click Calculate.
  2. Section 2 — Combined: Enter P(A) and P(B) as decimals (0–1), choose the relationship, then click Calculate.
  3. Section 3 — Conditional: Enter P(A∩B) and P(B) to find P(A given B).
  4. Section 4 — Dice & Coins: Select a die, choose the target value, and optionally set the number of rolls to find the probability of at least one hit.

Frequently Asked Questions

Independent events do not affect each other — the outcome of one does not change the probability of the other (e.g., flipping a coin twice). Mutually exclusive events cannot happen at the same time — if A occurs, B cannot (e.g., rolling a 2 and a 5 on the same single die roll). Confusing these two concepts is one of the most common probability mistakes.

Multiply the decimal probability by 100. For example, P = 0.25 means a 25% chance. This calculator always shows both the decimal and percentage forms of the result.

No. This tool runs entirely in your browser. Your input is never sent to any server, never logged, and never stored. Closing the tab removes all data immediately.

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