3.8: Probability Formulas
- Page ID
- 39735
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Complement (NOT) Rules: P(A) + P(A') = 1 P(A) = 1 – P(A') P(A') = 1 – P(A) |
Mutually Exclusive Events: P(A ∩ B) = 0 |
| Union (OR) Rule: P(A U B) = P(A) + P(B) – P(A ∩ B) | Independent Events for AND Rule: P(A ∩ B) = P(A) ‧ P(B) |
| Intersection (AND) Rule: P(A ∩ B) = P(A) ‧ P(B|A) | Conditional Probability Rule: \(P(A \mid B)=\frac{P(A \cap B)}{P(B)}\) |
| Fundamental Counting Rule: m1·m2···mn | Factorial Rule: n! = n·(n – 1)·(n – 2)···3·2·1 |
| Combination Rule: \({ }_{\mathrm{n}} \mathrm{C}_{\mathrm{r}}=\frac{n !}{(r !(n-r) !)}\) | Permutation Rule: \({ }_{\mathrm{n}} \mathrm{P}_{\mathrm{r}}=\frac{n !}{(n-r) !}\) |