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2.3 Probability

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Question 13

For the events CCC and DDD, it is given that:

P(C′∩D)=0.35andP(C′∩D′)=0.25 P(C' \cap D) = 0.35 \quad \text{and} \quad P(C' \cap D') = 0.25 P(C′∩D)=0.35andP(C′∩D′)=0.25
a.

Find P(C)P(C)P(C).

[2]
b.

Find P(C∪D)P(C \cup D)P(C∪D).

[2]
c.

Given that P(C∣D)=0.125P(C|D) = 0.125P(C∣D)=0.125,

find P(C∩D)P(C \cap D)P(C∩D).

[4]
d.

Determine whether or not CCC and DDD are independent.

[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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