Edexcel S1 2006 January — Question 4

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2006
SessionJanuary
TopicTree Diagrams
TypeSampling without replacement tree diagram

4. A bag contains 9 blue balls and 3 red balls. A ball is selected at random from the bag and its colour is recorded. The ball is not replaced. A second ball is selected at random and its colour is recorded.
  1. Draw a tree diagram to represent the information. Find the probability that
  2. the second ball selected is red,
  3. both balls selected are red, given that the second ball selected is red.