Probability

Gist

A gambler's favorite topic

Axioms

1. A probability space consists of a sample space S and a probability function P which takes an event A ⊆ S as input and returns P(A), a real number between 0 and 1, as output. The function P must satisfy the following axioms:

Properties:

1. P(Ac) = 1 − P(A).
2. If A ⊆ B, then P(A) ≤ P(B).
3. P (A ∪ B) = P (A) + P (B) − P (A ∩ B).

References

Introduction ot PRobability