CAIE S1 2007 June — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2007
SessionJune
TopicConditional Probability
TypeStandard Bayes with discrete events

2 Jamie is equally likely to attend or not to attend a training session before a football match. If he attends, he is certain to be chosen for the team which plays in the match. If he does not attend, there is a probability of 0.6 that he is chosen for the team.
  1. Find the probability that Jamie is chosen for the team.
  2. Find the conditional probability that Jamie attended the training session, given that he was chosen for the team.