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Conditional Probability

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Question 124
a.

Given that P(A)=aP(A) = aP(A)=a and P(B)=bP(B) = bP(B)=b, state an expression for P(A∪B)P(A \cup B)P(A∪B) in terms of aaa and bbb when: (i) AAA and BBB are mutually exclusive, (ii) AAA and BBB are independent.

[2]
b.

In a climate study, let HHH be the event of high humidity and TTT be the event of high temperature. It is found that:

P(H∩T′)=0.22,P(T)=0.30andP(H∣T)=0.6 P(H \cap T') = 0.22, \quad P(T) = 0.30 \quad \text{and} \quad P(H|T) = 0.6 P(H∩T′)=0.22,P(T)=0.30andP(H∣T)=0.6

Find the value of: P(H∪T)P(H \cup T)P(H∪T)

[2]
c.

P(H∩T)P(H \cap T)P(H∩T)

[2]
d.

P(H)P(H)P(H)

[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