Probability - Probability Using Permutations and Combinations

Probability - Probability Using Permutations and Combinations

A bag contains \(5\) red balls, \(7\) blue balls and \(4\) green balls. \(3\) balls are taken at random from the bag. Find the probability that all three balls are of different colours if

  1. the balls are taken without replacement,
  2. the balls are taken with replacement.

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Answer:(i) \(\frac14\) (ii) \(\frac{105}{512}\)

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