A bag contains 4 white and 5 black balls. Another bag contains 9 white and 7 black balls. A ball is transferred from the first bag to the second and then a ball is drawn at random from the second bag. Find the probability that the ball drawn is white.

Given that-


W1= [4 white balls] and B1 = [5 black balls]


And W2= [9 white balls] and B2= [7 black balls]


Let E1 is event that the ball transferred from the first bag is white and E2 is the event that the ball transferred from the bag is black.


Also, E is the event that the ball drawn from the second bag is white.



And


P(E)=P (E1). P (E|E1) +P (E2). P(E|E2)






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