CAIE S1 2003 November — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2003
SessionNovember
TopicProbability Definitions
TypeSelection with replacement

4 Single cards, chosen at random, are given away with bars of chocolate. Each card shows a picture of one of 20 different football players. Richard needs just one picture to complete his collection. He buys 5 bars of chocolate and looks at all the pictures. Find the probability that
  1. Richard does not complete his collection,
  2. he has the required picture exactly once,
  3. he completes his collection with the third picture he looks at.