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Probability Calculator

Find P(A or B), conditional probabilities and independence.

Your details

Result

P(A or B)

0.7000

P(A and B)
0.2000
P(A | B)
0.4000
P(B | A)
0.5000
Independent?
Yes
Neither occurs
0.3000

Good to know: P(A or B) = P(A) + P(B) − P(A and B)

About this tool

Formula

P(A or B) = P(A) + P(B) − P(A and B)

Questions people ask

How do I know if events are independent?

A and B are independent if P(A and B) = P(A) × P(B).

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How we calculate this

We use the standard published formula or definition for this calculation, and we show the working so you can check it.

Spotted a mistake? Tell us and we'll check it. How we check our calculators