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2.3 Probability

2.3 Probability

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Question 10

The events A A\,A and B B\,B are such that P(A)=0.45P(A) = 0.45P(A)=0.45, P(B∣A)=13P(B \mid A) = \dfrac{1}{3}P(B∣A)=31​ and P(A∣B)=0.3P(A \mid B) = 0.3P(A∣B)=0.3.

a.

Find P(A∩B)P(A \cap B)P(A∩B).

[2]
b.

Find P(B)P(B)P(B).

[2]
c.

Find P(A′∣B′)P(A' \mid B')P(A′∣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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