Question 78 – Conditional Probability - Questions

A Venn diagram shows the membership overlap for three luxury car clubs: Vintage ( $V$ ), Supercar ( $S$ ), and Classic ( $C$ ). Circle $V$ and circle $C$ are mutually exclusive. Circles $V$ and $S$ overlap, and circles $S$ and $C$ overlap.

The probabilities for the individual regions are as follows:

The probability of membership in only $V$ is 0.24
The probability of membership in the intersection of $V$ and $S$ is 0.16
The probability of membership in only $S$ is 0.12
The probability of membership in the intersection of $S$ and $C$ is 0.21
The probability of membership in only $C$ is 0.15
The probability of membership in the region outside all three circles is 0.12

Determine:

Conditional Probability Questions

Practise Edexcel A Level Maths Conditional Probability with exam-style questions for A Level Maths. 100 questions covering Set Notation, Conditional Probability, Conditional Probabilities in Venn Diagrams, Probability Formulae, and Tree Diagrams, 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.