OCR H240/02 2022 June — Question 13

Exam BoardOCR
ModuleH240/02 (Pure Mathematics and Statistics)
Year2022
SessionJune
TopicProbability Definitions
TypeVenn diagram completion

13 There are 25 students in a class.
  • The number of students who study both History and English is 3.
  • The number of students who study neither History nor English is 14 .
  • The number of students who study History but not English is three times the number who study English but not History.
    1. - Show this information on a Venn diagram.
    2. Determine the probability that a student selected at random studies English.
Two different students from the class are chosen at random.
  • Given that exactly one of the two students studies English, determine the probability that exactly one of the two students studies History. \section*{END OF QUESTION PAPER}