Q. 2   A bag contains red and black balls, another bag contains red and  black balls. One of the two bags is selected at random and a ball is drawn frome bag which is found to be red. Find the probability that the ball is drawn from the first bag.

BAG 1 : Red balls =4        Black balls=4     Total balls = 8

BAG 2 : Red balls = 2       Black balls = 6     Total balls = 8

B1 : selecting bag 1

B2 : selecting bag 2

Let R be a event of getting red ball

probability that the ball is drawn from the first bag,

given that it is red is .

Using Baye's theorem, we have

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