Base Rate Calculator

From raw numbers to clear insight: calculate the true probability behind a positive test result and see why base rates matter. Perfect for students, journalists, and data analysts who want to avoid the base rate fallacy.

Results update live as you type — no button needed. The Example button fills a sample input.

Why use Base Rate Calculator?

Instantly compute base rates and conditional probabilities from raw counts

Understand the impact of false positives and false negatives

Avoid common statistical misconceptions like the base rate fallacy

Clear explanations accompany every result

Works with any probability expression using standard arithmetic

FAQ

What is a base rate?

The base rate is the underlying probability of an event in a population before any new evidence is considered. For example, the prevalence of a disease in a population.

What is the base rate fallacy?

The base rate fallacy is the tendency to ignore the base rate (prior probability) when evaluating new evidence, leading to incorrect conclusions about conditional probabilities.

How do I calculate the probability of a true positive given a positive test result?

Use Bayes' theorem: P(disease | positive) = (P(positive | disease) * P(disease)) / P(positive). Our calculator helps you compute this from raw counts.

Can I use this calculator for any conditional probability problem?

Yes, as long as you can express the problem as a mathematical expression involving counts or probabilities. The calculator evaluates standard arithmetic expressions.

Example input

Try it with this sample — paste it into the box above:

1000*0.01/(1000*0.01+990*0.05)

How to use Base Rate Calculator

  1. Enter or paste your data into the Expression box above.
  2. The result appears instantly in the Result box — everything runs in your browser, nothing is uploaded.
  3. Use Copy or Download to keep the result, or Example to load a sample first.

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