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Conditional Probability Calculator

Find P(A given B).

Calculated Output

P(A | B) 0.4

P(A | B) (%) 40

Formula: P(A|B) = P(A and B) ÷ P(B)

Step-by-Step Breakdown

1. Values used:

2. P(A and B) = 0.2

3. P(B) = 0.5

5. P(A | B) = P(A and B) / P(B) = 0.2 / 0.5 = 0.4

6. P(A | B) = 40%

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The math behind it

P(A | B) = P(A and B) ÷ P(B).

0.2 ÷ 0.5 → 0.4 (40%).

Independent events?

Then P(A|B) = P(A).