There are two bags. Bag-1 contains 4 white and 6 black balls and Bag-2 contains 5 white and 5 black balls. A die is rolled, if it shows a number divisible by 3, a ball is drawn from Bag-1, else a ball is drawn from Bag-2. If the ball drawn is not black in colour, the probability that it was not drawn from Bag-2 is :

1
\(\frac{4}{9}\)
2
\( \frac{3}{8}\)
3
\( \frac{2}{7}\)
4
\(\frac{4}{19}\)

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