The basic theorems of probability can be developed easily from the Probability Axioms and Set Theory. |
The basic theorems of probability can be developed easily from the probability axioms and set theory. |
# Pr[A1 * A2] = ΣEi ε A1 &inter; A2 Pr[Ei] for all Ei in both A1 and A2. # Pr[A1 + A2] = Pr[A1] + Pr[A2] - Pr[A1 * A2] |
Pr[A1 * A2] = Σ Pr[Ei] Where Ei is any event in both A1 and A2. Pr[A1 + A2] = Σ Pr[Ei] Where Ei is any event in either A1 or A2. |
The probability of some event happening knowing that another event happened before can be computed using Conditional Probability. |
The probability of some event happening knowing that another event happened before can be computed using conditional probability. |