CAIE S1 2020 June — Question 5

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2020
SessionJune
TopicTree Diagrams
TypePopulation partition tree diagram

5 On Mondays, Rani cooks her evening meal. She has a pizza, a burger or a curry with probabilities \(0.35,0.44,0.21\) respectively. When she cooks a pizza, Rani has some fruit with probability 0.3 . When she cooks a burger, she has some fruit with probability 0.8 . When she cooks a curry, she never has any fruit.
  1. Draw a fully labelled tree diagram to represent this information.
  2. Find the probability that Rani has some fruit.
  3. Find the probability that Rani does not have a burger given that she does not have any fruit.