CAIE S1 2017 June — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2017
SessionJune
TopicConditional Probability
TypeGiven conditional, find joint or marginal

3 A shop sells two makes of coffee, Café Premium and Café Standard. Both coffees come in two sizes, large jars and small jars. Of the jars on sale, \(65 \%\) are Café Premium and \(35 \%\) are Café Standard. Of the Café Premium, 40\% of the jars are large and of the Café Standard, 25\% of the jars are large. A jar is chosen at random.
  1. Find the probability that the jar is small.
  2. Find the probability that the jar is Café Standard given that it is large.