OCR S1 2011 June — Question 8

Exam BoardOCR
ModuleS1 (Statistics 1)
Year2011
SessionJune
TopicProbability Definitions
TypeSequential events and tree diagrams

8 Ann, Bill, Chris and Dipak play a game with a fair cubical die. Starting with Ann they take turns, in alphabetical order, to throw the die. This process is repeated as many times as necessary until a player throws a 6 . When this happens, the game stops and this player is the winner. Find the probability that
  1. Chris wins on his first throw,
  2. Dipak wins on his second throw,
  3. Ann gets a third throw,
  4. Bill throws the die exactly three times.