Year 11 Methods (Unit 1 & 2) Probability

Sets And Venn Diagrams

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Questions

Question 1

61825

For the given Venn diagram, find each of the following

i) \(n(A \cup B)\)

ii) \(n(A \cap B)\)

Answer

i) \(3\) ii) \(1\)

Worked Solution

\begin{align}
&\begin{aligned}\text{i)}\quad\quad A\cup B&=\{4,3,5\}\\
\therefore\ n(A\cup B)&=3\end{aligned}\\
&\begin{aligned}\text{ii)}\quad\quad A\cap B=\{3\} \\
\therefore\ n(A\cap B)=1 \end{aligned}
\end{align}

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