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JEE MATHEMATICS MCQ: PROBABILITY

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A bag contains some white and some black balls, all combinations being equally likely. Total balls are 10. If three are drawn and found black then find probability that the bag contains 1 white and 9 black balls :

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Correct option: A

\frac{14}{55}

Option A (

\frac{14}{55}

) is correct because it is calculated using Bayes' theorem, considering the probability of drawing three black balls given 1 white and 9 black balls, divided by the total probability of drawing three black balls.

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\begin{array}{cccccc}X: & 1 & 2 & 3 & 4 & 5 \\ P(X): & k^2 & 2 k & k & 2 k & 5 k^2\end{array}

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