Question: 9. There are three dice in a small box. The first die is unbiased; the second one is loaded, and, when tossed, the probability of

9. 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. If the outcome was a 6, for i = 1, 2, 3, find the probability that the die selected and tossed was the ith die.

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