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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