SOLUTION: Mike determined that some children like to eat cake, some like to eat cookies, and others don't like to eat cake or cookies. He calculated the probabilities and created the Ven

Algebra ->  Probability-and-statistics -> SOLUTION: Mike determined that some children like to eat cake, some like to eat cookies, and others don't like to eat cake or cookies. He calculated the probabilities and created the Ven      Log On


   



Question 1012310: Mike determined that some children like to eat cake, some like
to eat cookies, and others don't like to eat cake or cookies.
He calculated the probabilities and created the Venn diagram
below:
a venn diagram showing two categories, cake and cookies. In the
cake only circle is 0.2 in the cookies only circle is 0.5, in
the intersection is 0.1, outside the circles is 0.2
What is the probability that a child eats cake, given that he/she
eats cookies?

Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
Mike determined that some children like to eat cake, some like
to eat cookies, and others don't like to eat cake or cookies.
He calculated the probabilities and created the Venn diagram
below:
a venn diagram showing two categories, cake and cookies. In the
cake only circle is 0.2 in the cookies only circle is 0.5, in
the intersection is 0.1, outside the circles is 0.2
What is the probability that a child eats cake, given that he/she
eats cookies?


The conditional probability formula for the probability
of A given B is 



So we have:



Edwin