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2.3 Probability

Question 6

For three events $A$ , $B\,$ and $C$ , the probabilities in the Venn-diagram regions are as follows: $A\,$ only is $p$ ; $A\cap B\,$ only is 0.12; $B\,$ only is 0.20; $B\cap C\,$ only is 0.08; $C\,$ only is $r$ ; outside all three events is 0.15; and $q=P(A∩C)q=P(A\cap C)$ .

The events $A\,$ and $C\,$ are mutually exclusive, and the events $A\,$ and $B\,$ are independent.

Write down the value of $q$ , giving a reason.

[1]

Find the value of $p$ .

[2]

Find the value of $r$ .

[2]

Markscheme

2.3 Probability Questions

A Level
Maths
2.3 Probability

36 exam-style questions on WJEC A Level Maths 2.3 Probability, covering 2.3.1 Probability and 2.3.2 Probability. Each one has a worked solution and a mark scheme showing where the marks go.

2.3 Probability

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2.3 Probability

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Question 6

The events $A\,$ and $C\,$ are mutually exclusive, and the events $A\,$ and $B\,$ are independent.

Write down the value of $q$ , giving a reason.

[1]

Find the value of $p$ .

[2]

Find the value of $r$ .

[2]

Markscheme

2.3 Probability Questions

A Level
Maths
2.3 Probability

36 exam-style questions on WJEC A Level Maths 2.3 Probability, covering 2.3.1 Probability and 2.3.2 Probability. Each one has a worked solution and a mark scheme showing where the marks go.