Q. 23

Mark the correct alternative in each of the following:

A bag X contains 2 white and 3 black balls and another bag Y contains 4 white and 2 black balls. One bag is selected at random and a ball is drawn from it. Then, the probability chosen to be white is

A. 2/15

B. 7/15

C. 8/15

D. 14/15

Answer :

Let A be the event of drawing a white ball.


Event M1 = Selecting bag X


Event M2 = Selecting bag Y


Let’s see what all probabilities we can find out from the given problem:


Selecting bag X = P(M1) =


Selecting bag Y = P(M2) =


Drawing white ball from bag X = P =


Drawing white ball from bag Y = P = =


Now, according to law of total probability





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