Edexcel A-Level Mathematics AS S1.3.2 Sample Space Questions

Practise organising sample spaces, using complements and unions, and calculating conditional probabilities from Venn diagrams, tables and contextual data.

Exam points

use complements and unions to calculate P(A′), P(A ∪ B) or P(A ∩ B)
calculate conditional probabilities from Venn diagrams, tables or tree information
show a given probability by forming the correct numerator and conditioning event

[Maximum number: 2]

The events H and W are such that

\mathrm{P}(H)=\frac{3}{8} \quad \mathrm{P}(H \cup W)=\frac{3}{4}

Given that H and W are independent,

Find $\mathrm{P}\left(N^{\prime} \mid H\right)$

Given that W and N are mutually exclusive,

$\mathrm{P}\left(N^{\prime} \mid H\right)=\frac{\frac{3}{8}-\frac{1}{15}}{\frac{3}{8}} \text { or } \frac{\frac{9}{40}+\frac{1}{12}}{\frac{3}{8}} \text { or } 1-\frac{\frac{1}{15}}{\frac{3}{8}}$ $=\frac{37}{45} \quad=\text { awrt } 0.822$ }}
(2)

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Edexcel A-Level Mathematics AS S1.3.2 Sample Space Questions question 1