Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Sets 3
18 practice questions
Practice questions
1–3 of 3 · Hard
Question 1
2 marks · Hard
Answer and see the solution →Out of 80 participants in a charity run, 48 ran the full course, 35 took part in the half course, and 18 ran both the full and half course.
What is the probability that a randomly selected participant ran at least one of the two courses?
Question 2
4 marks · Hard
Answer and see the solution →In a group of 50 students:
(a)[2 marks]36 study Mathematics (set M), 31 study Biology (set B), and 20 study both subjects. Draw a Venn diagram to represent this information, labelling the numbers in each region.
(b)Calculate the probability that a randomly chosen student studies:
(i)[1 mark]both Mathematics and Biology
(ii)[1 mark]Mathematics but not Biology
Question 3
4 marks · Hard
Answer and see the solution →In a club, every member either plays table tennis (T), badminton (B), or both. There are 60 members in total. 42 members play table tennis, 28 play badminton, and members play both.
Given that a member is chosen at random and is known to play table tennis, the probability that they also play badminton is .
(a)[2 marks]Express the number of members who play both sports in terms of the information above.
(b)[2 marks]Find the value of .