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Conditional Probability

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Question 133
a.

Given that P(X)=xP(X) = xP(X)=x and P(Y)=yP(Y) = yP(Y)=y, express P(X∪Y)P(X \cup Y)P(X∪Y) in terms of xxx and yyy when: (i) XXX and YYY are mutually exclusive, (ii) XXX and YYY are independent.

[2]
b.

Two events CCC and DDD are such that

P(C∩D′)=0.25,P(D)=0.40andP(C∣D)=0.2 P(C \cap D') = 0.25, \quad P(D) = 0.40 \quad \text{and} \quad P(C|D) = 0.2 P(C∩D′)=0.25,P(D)=0.40andP(C∣D)=0.2

Find the value of: P(C∪D)P(C \cup D)P(C∪D)

[1]
c.

P(C∩D)P(C \cap D)P(C∩D)

[2]
d.

P(C)P(C)P(C)

[2]

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