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A bag contains 10 red, 3 white balls, while another bag contains 3 red and 5 white balls. Two balls are drawn from first bag and put into the second bag and then a ball is drawn from the later. Find the Probability that it is a red ball.

A bag contains 10 red, 3 white balls, while another bag contains 3 red and 5 white balls. Two balls are drawn from first bag and put into the second bag and then a ball is drawn from the later. Find the Probability that it is a red ball.
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