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2.3 Probability

2.3 Probability

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Question 16

A fruit basket contains 12 apples, 9 oranges, and 4 pears. Two pieces of fruit are picked from the basket at random without replacement.

a.

Draw a tree diagram to represent this information.

[3]
b.

Find the probability that the two pieces of fruit picked are both pears.

[2]
c.

Given that at least one of the pieces of fruit picked is an orange, find the probability that both pieces are oranges.

[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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