Answer to Question #42089 in Statistics and Probability for Muhammad Awais

Question

A bag contains 3 red and 4 black balls and another bag has 4 red, 2 black and 3 green balls. The selection of the two bags are equiprobable. A bag is selected at random. From the selected bag a ball is taken out. The drawing of each ball is also equiprobable.
A is the event: “the first bag is selected”
B is the event: “the second bag is selected”
H is the event: “the ball drawn is red”
Then find P(A), P(B), P(H/A) and P(H/B).