JEE Advanced 2024 Mathematics question
A bag contains balls out of which 3 balls are white, 6 balls are green, and the remaining balls are blue. Assume that the balls are identical otherwise. Three balls are drawn randomly one after the other without replacement. For , let , , and denote the events that the ball drawn in the draw is a white ball, green ball, and blue ball, respectively. If the probability and the conditional probability , then equals .
Answer: 11
Solution
After a white and then a green ball have been drawn, balls remain, of which are blue. So $ = = 29 ⇒ 9N-81 = 2N-4 ⇒ N
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