use the law of total probabilty to prove that a. if P (A l B) = P (A l B,) then A and B are independent b. if P (A l C ) > P (B l C) and P (A l C' ) > P( B l C' ), then P (A) > P (B)
Follow Math Help Forum on Facebook and Google+
Hello, The law of total probability says that So here, since B and B' are complementary events. Provided that , it follows that For the second one... : But from the two inequalities, we can say that , and the RHS is exactly
View Tag Cloud