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2.3 Probability

2.3 Probability

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Question 78

The events A A\,A and B B\,B are such that P(A)=0.3P(A) = 0.3P(A)=0.3 and P(A∪B)=0.7P(A \cup B) = 0.7P(A∪B)=0.7.

a.

Find P(A′∩B′)P(A' \cap B')P(A′∩B′).

[2]
b.

Find P(A′∩B)P(A' \cap B)P(A′∩B).

[2]
c.

Given also that P(A∣B)=14P(A\mid B)=\dfrac{1}{4}P(A∣B)=41​, find P(B)P(B)P(B).

[3]
Markscheme

2.3 Probability Questions

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

200 exam-style questions on OCR A Level Maths 2.3 Probability, covering 2.3.1 Mutually exclusive and independent events, 2.3.2 Diagrams to assist probability calculations, 2.3.3 Conditional probability (A-level only), 2.3.4 Conditional probability from first principles (A-level only), and 2.3.5 Modelling with probability. Each one has a worked solution and a mark scheme showing where the marks go.

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