Probability

Probability of the axiomatic point / Proposes the rules that the calculation of probabilities must satisfy 3 principles
Total probability / Probability Ω that isequal to 1. Its formula is P(Ω)=1
Probability of an event A / It is a probability that have of result a real number greater or equal to zero. And its formula is P(A)≥0Axiom 1/ The probability of the event A is a real number between 0 and 1
Axiom 2 / The probability of S is equal to one p(S)=1
Theorem 1 / If 0 is an empty set, then P0=0
Theorem 2 / If A is an empty, then P(A)≤ 1
Theorem 3 / If A(complement) an event, then P(Ac)= 1 -P(A)
Theorem 4 / If the set A is a subset of B, AcB then P(A) ≤P(B)
Theorem 5/ If A and B are two events, then P(A-B)= P(A)-P(AnB)
Theorem 6/ If a and b are two events, then P(AuB)= P(A)+ P(B)-(AnB)
Classical probability /Probability of an event A is written P(E) and is defined as the number of results that makes the event E, divided by the number of results that makes the event E, divided bythe number of results that makes the sample space
Mutually exclusive event / If two events are mutually exclusive, the addition rule indicates that the probability of Aor B is equal to the sum of their probabilities
Independent event / If the ocurrence of one event has no effect on the occullence of other event.
The probability of aindependent event / The product of the probabilities of an individual event
Non mutually event / If two events are non-mutually exclusive, the addition rule indicatesthat the probability of a or b is equal to the sum of their probabilities minus their intersection
Conditional probability / Probability that a particular event occured