Question: A bag is equally likely to contain either one white ball or one red ball. A white ball is added to the bag, and then

A bag is equally likely to contain either one white ball or one red ball. A white ball is added to the bag, and then a ball is selected at random from the bag. If the selected ball is white, what is the probability that the bag originally contained a white ball? (This problem has been attributed to the famous English author Lewis Carroll.)

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