Conditional Probability and Independence

Calculation rules for P(A|B)

When we want the probability for Event B in the condition of Event A, we write P(A|B) Where $$P(A|B)= \frac{P(A\cap B)}

This rule applys when A and B are associated(not independent) ## Independence There are two ways to check if two events are independent to each other or not: - Multiplication rule $P(A\ and\ B)=P(A)P(B)$ - Conditional probability $P(A|B)=P(A)$ >Remark: One should always be aware that independent of two events **does not** equvilent to disjoint