Um 1 contains 3 red and 7 white balls. Um 2 contains 7 red and 2 white balls. A ball is drawn from urn 1 and placed in um 2. Then a ball is drawn from um 2. If the ball drawn from um 2 is red, what is the probability that the ball drawn from urn was red? The probability is (Type an integer or decimal rounded to three decimal places as needed.)

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