Math

Probability Calculator

Calculate various probability relationships between two events

Probability of Event A*

Probability of Event B*

Probability of A and B*

P(A or B)

0.7500

Probability of either event A or event B occurring

P(A|B)

0.5000

Conditional probability of A given B has occurred

P(B|A)

0.5000

Conditional probability of B given A has occurred

P(not A)

0.5000

Probability of event A not occurring

P(not B)

0.5000

Probability of event B not occurring

Relationship between events

✓ Independent Events ✗ Mutually Exclusive Events

Analysis of the relationship between events A and B

Detailed joint and complement probabilities

Item	Value
P(A and B) Probability of both A and B occurring	0.2500
P(A and not B) Probability of A occurring and B not occurring	0.2500
P(not A and B) Probability of A not occurring and B occurring	0.2500
P(not A and not B) Probability of neither A nor B occurring	0.2500

P(A or B) = P(A) + P(B) - P(A and B)
P(A|B) = P(A and B) / P(B)
P(not A) = 1 - P(A)

Supported inputs

Input	Description
Probability of Event A	The probability of event A occurring
Probability of Event B	The probability of event B occurring
Probability of A and B	The probability of both events A and B occurring

Formula

P(A or B) = P(A) + P(B) - P(A and B)
P(A|B) = P(A and B) / P(B)
P(not A) = 1 - P(A)

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