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2.3 Probability

2.3 Probability

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Question 30

A health club survey asks 100 students about the fruits they eat. They can choose from apples (AAA), bananas (BBB), and cherries (CCC).

10 students eat all three fruits. 18 students eat apples and bananas. 15 students eat bananas and cherries. 20 students eat apples and cherries. 45 students eat apples. 35 students eat bananas. 40 students eat cherries.

a.

Draw a Venn diagram for this information.

[3]
b.

One of the students is selected at random. Given they eat apples, find the probability they do not eat bananas.

[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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