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Math

Probability AND / OR

Independent and mutually exclusive events

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Parameters

Results

P(A and B)
10%
P(A or B)
55%

How it works

Calculate combined probabilities for AND and OR of events.

Who it's for: Probability students distinguishing independent and mutually exclusive cases.

Independent AND: P(A and B) = P(A)·P(B).

Mutually exclusive OR: P(A or B) = P(A) + P(B).

Independent OR: P(A or B) = P(A) + P(B) − P(A)·P(B).

How to use

  1. Select event type: independent or mutually exclusive.
  2. Enter P(A) and P(B).
  3. Read the combined AND and OR probabilities.