Question

There are three bags B₁, B₂ and B₃. The bag B₁ contains 5 red and 5 green balls, B₂ contains 3 red and 5 green balls, and B₃ contains 5 red and 3 green balls. Bags B₁, B₂ and B₃ have probabilities 3/10, 3/10 , and 4/10 respectively of being chosen. A bag is selected at random and a ball is chosen at random from the bag. Then which of the following options is/are correct? 

(A) Probability that the selected bag is B₃ and the chosen ball is green equals 3 /10 

(B) Probability that the selected bag is B₃, given that the chosen ball is green, equals 5/ 13 

(C) Probability that the chosen ball is green, given that the selected bag is B₃, equals 3 /8 

(D) Probability that the chosen ball is green equals 39 /80

Answer 1

Correct Option :-  (C, D)

Explanation :-

(A) Probability that selected bag is B3 and the chosen ball is green

(B) Probability that the selected bag is B₃ given that the chosen ball is green

(C) Probability that the chosen ball is green, given that the selected bag is B₃

(D) Probability that the chosen ball is green