CAIE S1 2016 November — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2016
SessionNovember
TopicProbability Definitions
TypeTwo-way table probabilities

4 For a group of 250 cars the numbers, classified by colour and country of manufacture, are shown in the table.
GermanyJapanKorea
Silver402634
White322226
Red281230
One car is selected at random from this group. Find the probability that the selected car is
  1. a red or silver car manufactured in Korea,
  2. not manufactured in Japan.
    \(X\) is the event that the selected car is white. \(Y\) is the event that the selected car is manufactured in Germany.
  3. By using appropriate probabilities, determine whether events \(X\) and \(Y\) are independent.