OCR PURE — Question 9

Exam BoardOCR
ModulePURE
TopicProbability Definitions
TypeTwo-item selection from population

9 In a survey, 50 people were asked whether they had passed A-level English and whether they had passed A-level Mathematics. The numbers of people in various categories are shown in the Venn diagram.
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  1. A person is chosen at random from the 50 people. Find the probability that this person has passed A-level Mathematics.
  2. Two people are chosen at random, without replacement, from those who have passed A-level in at least one of the two subjects. Determine the probability that both of these people have passed A-level Mathematics.