Bayes' theorem
Формула
$$\huge P(A|B) = \frac{P(B|A)P(A)}{P(B)}$$
Вывод
$$\huge
P(AB)=P(A|B)P(B)=P(B|A)P(A)
$$
$$\huge
P(A|B) = \frac{P(AB)}{P(B)}=\frac{P(B|A)P(A)}{P(B)}
$$
$$\huge P(A|B) = \frac{P(B|A)P(A)}{P(B)}$$
$$\huge
P(AB)=P(A|B)P(B)=P(B|A)P(A)
$$
$$\huge
P(A|B) = \frac{P(AB)}{P(B)}=\frac{P(B|A)P(A)}{P(B)}
$$