There are 4 white and 3 black balls in a box. In another box, there are 3 white and 4 black balls. An unbiased dice is rolled. If it shows a number less than or equal to 3, then a ball is drawn from the second box, otherwise from the first box. If the ball is drawn is black, then the probability that the ball was drawn from the first box is

1
1/2
2
6/7
3
4/7
4
3/7

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