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 isA. 2/15B. 7/15C. 8/15D. 14/15

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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