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

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 →