when do you use the law of total probability
Law of total probability The above mathematical statement might be interpreted as follows: given an outcome   A  {\displaystyle A} , with known conditional probabilities given any of the   B n   {\displaystyle B_{n}}  events, each with a known probability itself, what is the total probability that   A  {\displaystyle A}  will happen? The answer to this question is given by   Pr ( A )  {\displaystyle \Pr(A)} .