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Probability, SM-Bank 037

A school canteen has two different types of sandwiches.

There are 14 chicken sandwiches and 11 vegemite sandwiches.

The canteen sells one sandwich to each of the first five students in line at lunch time.

The table shows the type of sandwich the first five students buy.
 

\begin{array} {|l|c|}
\hline
\rule{0pt}{2.5ex} \textbf{Student} \rule[-1ex]{0pt}{0pt} & \textbf{Sandwich Type} \\
\hline
\rule{0pt}{2.5ex} \text{Tim} \rule[-1ex]{0pt}{0pt} & \text{chicken} \\
\hline
\rule{0pt}{2.5ex} \text{Kate} \rule[-1ex]{0pt}{0pt} & \text{vegemite} \\
\hline
\rule{0pt}{2.5ex} \text{Choon} \rule[-1ex]{0pt}{0pt} & \text{vegemite} \\
\hline
\rule{0pt}{2.5ex} \text{Raj} \rule[-1ex]{0pt}{0pt} & \text{chicken} \\
\hline
\rule{0pt}{2.5ex} \text{Kelly} \rule[-1ex]{0pt}{0pt} & \text{vegemite} \\
\hline
\end{array}

 
Dom is next in line and asks for a sandwich but doesn't care which type.

What is the chance that Dom is given chicken sandwich? Give your answer as a percentage.  (2 marks)

--- 5 WORK AREA LINES (style=lined) ---

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\(60\%\)

Show Worked Solution

\(P\text{(chicken sandwich for Dom)}\)

\(=\dfrac{\text{chicken sandwiches left}}{\text{total sandwiches left}}\)

\(=\dfrac{14-2}{20}\)

\(= 0.60\)

\(= 60\%\)

Filed Under: Probability Tagged With: num-title-ct-core, smc-4225-15-Single-stage events

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