There are three dice in a small box. The first die is unbiased; the second one is loaded, and, when tossed, the probability of obtaining 6 is 3/8, and the probability of obtaining each of the other faces is 1/8. The third die is also loaded, but the probability of obtaining 6 when tossed is 2/7, and the probability of each of the other five faces is 1/7. A die was selected from the box at random and was tossed, and the outcome was 6. If the die is tossed once more, what is the probability that the outcome is 6 again?

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