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There are 3 bags. Bag 1 contains 2 red a...

There are 3 bags. Bag 1 contains 2 red and `a^2-4a+8` black balls, bag 2 contgais 1 red and `a^2-4a+9` black balls, and bag 3 contais 3 red and `a^2-4a+7` black balls. A ball is drawn at random from at random chosen bag. Then the maximum value of probability that it is a red ball is a.`1//3` b. `1//2` c. `2//9` d. `4//9`

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