Conditional Probability

곱셈 법칙

P(A, B) : A와 B가 동시에 일어날 확률
$P(A,B)=P(A)P(B|A)$

조건부 확률의 연쇄 법칙

$P(x_1,x_2,x_3,...,x_n)={\prod }_{n=1}^{n}P(w_n|w_1,...,w_{n-1})$

$P(A,B,C,D)=P(A)P(B|A)P(C|A,B)P(D|A,B,C)$

Bayes’ Theorem

$P(A|B)=\frac{P(B|A)P(A)}{P(B)}$