CAIE S1 2013 November — Question 2 5 marks

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2013
SessionNovember
Marks5
TopicConditional Probability
TypeDice/random device selects population

2 The people living in two towns, Mumbok and Bagville, are classified by age. The numbers in thousands living in each town are shown in the table below.
MumbokBagville
Under 18 years1535
18 to 60 years5595
Over 60 years2030
One of the towns is chosen. The probability of choosing Mumbok is 0.6 and the probability of choosing Bagville is 0.4 . Then a person is chosen at random from that town. Given that the person chosen is between 18 and 60 years old, find the probability that the town chosen was Mumbok. [5]