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Conditional Probability

Conditional Probability

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Question 10

The events A and B are such that P(A)=38\displaystyle P(A) = \frac{3}{8}P(A)=83​, P(B)=12\displaystyle P(B) = \frac{1}{2}P(B)=21​ and P(A∣B)=14\displaystyle P(A|B) = \frac{1}{4}P(A∣B)=41​. Find

a.

P(A∩B)P(A \cap B)P(A∩B)

[2]
b.

P(B′∩A)P(B' \cap A)P(B′∩A)

[1]
c.

Hence find P(B′∣A)P(B'|A)P(B′∣A)

[2]
d.

P(A′∪B)P(A' \cup B)P(A′∪B)

[2]
e.

Determine whether the events A and B are independent, give a reason for your answer.

[3]
Markscheme

Conditional Probability Questions

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

368 exam-style questions on Edexcel A Level Maths Conditional Probability, covering 2.1 Set Notation, 2.2 Conditional Probability, 2.3 Conditional Probabilities in Venn Diagrams, 2.4 Probability Formulae, and 2.5 Tree Diagrams. Each one has a worked solution and a mark scheme showing where the marks go.

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