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A bag contains 4 white and 3 black balls...

A bag contains 4 white and 3 black balls. Another bag contains 5 white and 2 black balls. A pair of dice is rolled. If the sum on the dice is 10,`1^(st)` bag is selected. Otherwise `2^(nd)` bag is selected. Find the probability of drawing white ball if one ball is drawn from the selected bag at random.

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The correct Answer is:
`(59)/(84)`
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