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Coloured balls are distributed in four boxes as shown in the following table:A box is selected at random and then a ball is randomly drawn from the se

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Coloured balls are distributed in four boxes as shown in the following table:A box is selected at random and then a ball is randomly drawn from the selected box. The colour of the ball is black, what is the probability that ball drawn is from the box III? Select the correct answer from above options

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`P(B_1)=P(B_2)=P(B_3)=P(B_4)`=1/4 E= taking a black ball `P(E//B_1)`=3/18=1/6 `P(E/B_2)`=2/18=1/14 `P(E/B_3)`=1/7 `P(E/B_4)`=4/13 `P(B_3/E)=(P(E/B_3)P(B_3))/(P(E/B_1)P(B_1)+P(E/B_2)P(B_2)+P(E/B_3)P(B_3)+P(E/_4)P(B_4)` =`((1/7)(1/4))/((1/6)(1/4)+(1/4)(1/4)+(1/7)(1/4)+(4/13)(1/4))` =`312/1390`

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