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Conditional Probability Calculator

Math
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Calculates the probability of an event occurring given that another event has already occurred.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Probability of Event A (P(A)), Probability of Event B (P(B)), and Probability of A and B (P(A and B)) in the units shown.

Step 2

Read Probability of A given B (P(A|B)) and Probability of B given A (P(B|A)) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Independent Events

Probability of Event A (P(A)): 0.4; Probability of Event B (P(B)): 0.6; Probability of A and B (P(A and B)): 0.24

Probability of A given B (P(A|B)): 0.4; Probability of B given A (P(B|A)): 0.6

Dependent Events - Example 1

Probability of Event A (P(A)): 0.5; Probability of Event B (P(B)): 0.4; Probability of A and B (P(A and B)): 0.2

Probability of A given B (P(A|B)): 0.5; Probability of B given A (P(B|A)): 0.4

Dependent Events - Example 2

Probability of Event A (P(A)): 0.7; Probability of Event B (P(B)): 0.3; Probability of A and B (P(A and B)): 0.15

Probability of A given B (P(A|B)): 0.5; Probability of B given A (P(B|A)): 0.2142857143

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