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. |
The formulae below express the same ideas in algebraic terms.
Σi Pr[Ei] = 1 |
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.
(in these equations, "+" means "or" and "*" means "and")
The probability of some event happening knowing that another event happened before can be computed using conditional probability.