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Union and intersection probabilities
Compute union, neither and exclusive events from P(A), P(B), and their overlap.
Enter the probabilities of A, B and both occurring together. Inclusion–exclusion gives the union P(A) + P(B) − P(A and B), with complementary and exclusive outcomes returned separately.
How to use
- Enter your text, values, or image.
- Adjust the options and run the tool.
- Copy or download your result.
Worked example
Example input
P(A): 0.5 P(B): 0.4 P(A and B): 0.2
Example result
{
"union": 0.7,
"neither": 0.3,
"onlyA": 0.3,
"onlyB": 0.2,
"exactlyOne": 0.5
}Limitations and details
The intersection must be consistent with both event probabilities; independence is not assumed or inferred.
Inputs and options
- P(A)
- Number · Minimum: 0 · Maximum: 1
- P(B)
- Number · Minimum: 0 · Maximum: 1
- P(A and B)
- Number · Minimum: 0 · Maximum: 1
Frequently asked questions
Is this tool free and private?
Yes. All 300 tools are free in this phase. Processing happens in your browser; your input and files are not sent to our servers.