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Discrete Random Variables (DRV)

Discrete Random Variables (DRV)

7 marks

A pack of cards contains \(10\) Hearts, \(5\) Spades and \(11\) Clubs. \(15\) cards are drawn at random from the pack with replacement. Find the probability that

  1. exactly \(5\) hearts are chosen,[2]
  2. less than \(2\) spades are chosen,[2]
  3. exactly \(3\) hearts and \(5\) spades are chosen.[3]

The cards are now drawn without replacement. Find the probability that exactly \(5\) hearts are chosen.

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Answer:(i) \(0.197\) (ii) \(0.186\) (iii)\(0.0131\); \(0.261\)

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