1, classical probability: p (a) = number of basic events contained in a/total number of basic events = m/n; 2. Geometric probability: P(A)= the length of the region that constitutes event A/the length of the region that consists of all test results; 3. Conditional probability: P(A|B)=Nab/Nb=P(AB)/P(B)=AB, and the number of basic events involved/b; 4. Bernoulli probability: pn (k) = cn * p k

1. If A and B are independent, then the inverse of A and B, the inverse of A and the inverse of A are also independent.

2. If A, B and C are independent of each other, then they are independent in pairs, and P (A, B, C) = P (a) P (b) P (c).

3. Paired independence cannot introduce ABC independence.

4. De Morgan's Law AUB=AB ANB=AUB

The addition formula P(AUB)=P(A)+P(B)-P(AB)

The subtraction formula p (aubuc) = p (a)+p (b)+p (c)-p (ab)-p (BC)-p (AC)+p (ABC).

The subtraction formula p (a-b) = p (the inverse of ab) =P(A)-P(AB).

The opposite event p (inverse of a) =1-P(A)

Independent event P(AB)=P(A)P(B)

5. Conditional probability P (BIA) = P (AB)/P (A) P (AIB) = P (AB)/P (B)

6. Solution steps of full probability formula 1: Let A be the event 2, find out the complete event group 3, write P(B) and P(AIB) and substitute them into the full probability formula P(A)=P(B)P(AIB).

Bayesian formula P(BIA)=P(B)P(AIB)/P(A)