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2.3 Probability

2.3 Probability

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Question 3
74%

A survey is conducted among 60 university students regarding which extracurricular clubs they have joined. They can choose from Art club (AAA), Biology club (BBB), and Chess club (CCC).

  • 4 students are in all three clubs
  • 10 students are in both Art and Biology clubs
  • 7 students are in both Biology and Chess clubs
  • 9 students are in both Art and Chess clubs
  • 32 students are in the Art club
  • 24 students are in the Biology club
  • 18 students are in the Chess club
a.

Draw a Venn diagram to represent this information.

[3]
b.

One of the students is selected at random. Given they are in the Art club, find the probability they are not in the Chess club.

[3]
Markscheme

2.3 Probability Questions

  1. A Level
  2. /Maths
  3. /2.3 Probability

200 exam-style questions on OCR (MEI) A Level Maths 2.3 Probability, covering 2.3.1 Calculate the probability of an event, 2.3.2 Complementary events, 2.3.3 Expected frequency of an event, 2.3.4 Diagrams to calculate probabilities, 2.3.5 Mutually exclusive and independent events, 2.3.6 Add probabilities for mutually exclusive events, 2.3.7 Multiply probabilities for independent events, 2.3.8 Mutually exclusive and independent events (notation) (A-level only), 2.3.9 Venn diagrams for probabilities (A-level only), 2.3.10 Conditional probabilities (A-level only), and 2.3.11 Independence via conditional probability (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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