SOLUTION: Box M contains nine balls numbered 1 through 9 and box N contains five balls numbered 1 through 5 . A box is chosen at random and a ball drawn; if the ball shows even number , what

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Question 1105352: Box M contains nine balls numbered 1 through 9 and box N contains five balls numbered 1 through 5 . A box is chosen at random and a ball drawn; if the ball shows even number , what is the probability that it come from box M?
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
We want the probability that the ball came from box M, 
given that it is even:



The probability of choosing box M is 1/2.
The probability of then getting an even ball (from box M) is 4/9,
So 





The probability of choosing box N is 1/2.
The probability of then getting an even ball (from box N) is 2/5,
Therefore,



Therefore,



Therefore,



Edwin