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There are n bins of which the kth contains k − 1 blue balls and n − k red balls. You pick a bin at random and remove two balls at random without replacement. Find the probability that:

  • the second ball is red;
  • the second ball is red, given that the first is red.
  1. 1/3, 2/3
  2. 1/2, 1/3
  3. 1/2, 2/3
  4. 1/3, 1/3

Correct Answer: 1/2, 2/3

NPTEL Introduction to Machine Learning Assignment Answers

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