JEE Main 2024 Mathematics question
An urn contains 6 white and 9 black balls. Two successive draws of 4 balls are made without replacement. The probability, that the first draw gives all white balls and the second draw gives all black balls, is:
Answer: (C)
Solution
P = (⁶C₄/¹⁵C₄) × (⁹C₄/¹¹C₄) = (15/1365) × (126/330) = 3/715.