basic

Law of Total Probability Calculator

P(A) = Σ P(A|B_i)·P(B_i) for three partitions.

Calculates the total probability of event A using the law of total probability over three mutually exclusive partition events B₁, B₂, and B₃.

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Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

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Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

P(A) = P(A|B₁)P(B₁) + P(A|B₂)P(B₂) + P(A|B₃)P(B₃)

In depth

Calculates the total probability of event A using the law of total probability over three mutually exclusive partition events B₁, B₂, and B₃.