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Conditional Probability

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Question 75

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]

Conditional Probability Questions

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

Practise Edexcel A Level Maths Conditional Probability with exam-style questions for A Level Maths. 152 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank