Consider two​ boxes, one containing 1 black and 1 white marble​, the other 2 black and 1 white marble. A box is selected at​ random, and a marble is drawn from it at random.  What is the probability that the first box was the one selected given that the marble is​ white? (use a decimal number, rounded to the nearest 1000th. For example, 0.123)

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