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Bag 1 contains 4 white and 6 black balls while another Bag 2 contains 4 white an...

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Bag 1 contains 4 white and 6 black balls while another Bag 2 contains 4 white and 3 black balls. One ball is drawn at random from one of the bags and it is found to be black. Find the probability that it was drawn from Bag 1.
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