OCR S1 2010 January — Question 7

Exam BoardOCR
ModuleS1 (Statistics 1)
Year2010
SessionJanuary
TopicConditional Probability
TypeBasic two-way table probability

7 The table shows the numbers of male and female members of a vintage car club who own either a Jaguar or a Bentley. No member owns both makes of car.
\cline { 2 - 3 } \multicolumn{1}{c|}{}MaleFemale
Jaguar2515
Bentley128
One member is chosen at random from these 60 members.
  1. Given that this member is male, find the probability that he owns a Jaguar. Now two members are chosen at random from the 60 members. They are chosen one at a time, without replacement.
  2. Given that the first one of these members is female, find the probability that both own Jaguars.