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A bag contains one white ball and two red balls. A ball is drawn at random. If the ball is white,
then it is put back into the bag along with an extra white ball. If the ball is red, then it is put back
into the bag with two extra red balls. Then another ball is drawn. What is the probability that the
second ball drawn is red? (From Crossing the River with Dogs. Key Curriculum Press 2001).

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