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Probability, SM-Bank 015 MC

In a high school, all the boys were asked their favourite sport and the top five results were put in the table below.

\begin{array} {|l|c|}
\hline
\rule{0pt}{2.5ex} \textbf{Sport} \rule[-1ex]{0pt}{0pt} & \textbf{Number of boys} \\
\hline
\rule{0pt}{2.5ex} \text{Rugby League} \rule[-1ex]{0pt}{0pt} & \text{123} \\
\hline
\rule{0pt}{2.5ex} \text{Soccer} \rule[-1ex]{0pt}{0pt} & \text{117} \\
\hline
\rule{0pt}{2.5ex} \text{Rugby Union} \rule[-1ex]{0pt}{0pt} & \text{108} \\
\hline
\rule{0pt}{2.5ex} \text{Swimming} \rule[-1ex]{0pt}{0pt} & \text{106} \\
\hline
\rule{0pt}{2.5ex} \text{AFL} \rule[-1ex]{0pt}{0pt} & \text{100} \\
\hline
\end{array}

Which of these statements is true of a boy who goes to the high school?

  1. His favourite sport is less likely to be soccer than AFL.
  2. His favourite sport is certain to be rugby league.
  3. His favourite sport is more likely to be rugby union than swimming.
  4. It is impossible that his favourite sport is golf.
Show Answers Only

\(C\)

Show Worked Solution

\(\text{“His favourite sport is more likely to be rugby union}\)

\(\text{than swimming” is the correct statement.}\)
 

\(\Rightarrow C\)

Filed Under: Probability Tagged With: num-title-ct-core, smc-4225-05-Core concepts

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