SOLUTION: We saw last week that if the probability that a women is rich is 0.4, the probability that she is beautiful is 0.3, and the probability that she is either rich or beautiful is 0.5,

Algebra ->  Probability-and-statistics -> SOLUTION: We saw last week that if the probability that a women is rich is 0.4, the probability that she is beautiful is 0.3, and the probability that she is either rich or beautiful is 0.5,      Log On


   

Question 285124: We saw last week that if the probability that a women is rich is 0.4, the probability that she is beautiful is 0.3, and the probability that she is either rich or beautiful is 0.5, then we can show that the probability that she is both rich AND beautiful equals 0.2
What is the probability that a rich woman is beautiful?
Answer by Edwin McCravy(20086) About Me  (Show Source):
You can put this solution on YOUR website!
We saw last week that if the probability that a women is rich is 0.4, the probability that she is beautiful is 0.3, and the probability that she is either rich or beautiful is 0.5, then we can show that the probability that she is both rich AND beautiful equals 0.2
What is the probability that a rich woman is beautiful?


We are given that she is rich (R).  So we use the conditional probability
formula to find the probability that she is beautiful (B) given that she 
is rich (R).

The formula is:

%22P%28B%7CR%29%22+=%22P%28B%26R%29%22%2F%22P%28R%29%22=0.2%2F0.4=0.5 

Edwin