CAIE S1 2010 November — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2010
SessionNovember
TopicConditional Probability
TypeConditional probability with given score/outcome

3 A fair five-sided spinner has sides numbered 1,2,3,4,5. Raj spins the spinner and throws two fair dice. He calculates his score as follows.
  • If the spinner lands on an even-numbered side, Raj multiplies the two numbers showing on the dice to get his score.
  • If the spinner lands on an odd-numbered side, Raj adds the numbers showing on the dice to get his score.
Given that Raj's score is 12, find the probability that the spinner landed on an even-numbered side.