Probability Workbench
Explore conditional probability, discrete distributions, random variables, and supplemental inference.
Build a probability model
Edit the model and read the mathematical result beside it.
Conditional probability
The event table and Venn labels use the same four disjoint counts.
| Event | B | Bᶜ |
|---|---|---|
| A | ||
| Aᶜ |
- P(A)
- 3/5
- P(B)
- 1/2
- P(A ∩ B)
- 2/5
- Independent?
- No
- P(A | B)
- 4/5
- P(B | A)
- 2/3
Update with Bayes · Supplemental
Prior P(A) = 3/5; likelihood P(B | A) = 2/3.
A ∩ B = 2/5; all B evidence = 1/2.
P(A | B) = 4/5