Question

Refer to Question 41 above. If a white ball is selected, what is the probability that it came from Bag 2

Answer 1

We will use here Bayes’ Theorem

`"P"("E"_2/"F") = ("P"("E"_2)*"P"("F"/"E"_2))/("P"("E"_1) * "P"("F"/"E"_1) + "P"("E"_2) * "P"("F"/"E"_2) + "P"("E"_3) * "p"("F"/"E"_3))`

= `(2/6*1/3)/(1/6*0 + 2/6*1/3 + 3/6*1)`

= `(2/18)/(2/18 + 3/6)`

= `2/11`