AQA S1 2005 June — Question 3

Exam BoardAQA
ModuleS1 (Statistics 1)
Year2005
SessionJune
TopicProbability Definitions
TypeSequential events and tree diagrams

3 Fred and his daughter, Delia, support their town's rugby team. The probability that Fred watches a game is 0.8 . The probability that Delia watches a game is 0.9 when her father watches the game, and is 0.4 when her father does not watch the game.
  1. Calculate the probability that:
    1. both Fred and Delia watch a particular game;
    2. neither Fred nor Delia watch a particular game.
  2. Molly supports the same rugby team as Fred and Delia. The probability that Molly watches a game is 0.7 , and is independent of whether or not Fred or Delia watches the game. Calculate the probability that:
    1. all 3 supporters watch a particular game;
    2. exactly 2 of the 3 supporters watch a particular game.