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Cambridge AS & A Level Mathematics

5.3Probability

Probability in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic39 practice questions2 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 5.3.1Evaluate probabilities by enumerating equiprobable outcomes or with permutations and combinations.
  2. 5.3.2Add and multiply probabilities in simple cases.
  3. 5.3.3Understand exclusive and independent events and test independence with P(A ∩ B) and P(A) × P(B).
  4. 5.3.4Calculate and use conditional probabilities in simple cases.

Lessons

  • Conditional probability, independence and tree diagrams

    50 min

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  • Probability: sample spaces, events and the addition rule

    45 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Probability: sample question

1 mark

For events AA and BB, P(B)=0.45\mathrm{P}(B) = 0.45 and P(A∩B)=0.18\mathrm{P}(A \cap B) = 0.18. Find P(A∣B)\mathrm{P}(A \mid B).

Only if the answer has a unit, e.g. cm or km/h.

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