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Probability, SM-Bank 057 MC

Blinky is blowing up balloons for a birthday party.

The number of blown up balloons of each colour is recorded in the table below.

\begin{array} {|l|c|}
\hline
\rule{0pt}{2.5ex} \textbf{Colour} \rule[-1ex]{0pt}{0pt} & \textbf{Number of Balloons} \\
\hline
\rule{0pt}{2.5ex} \text{white} \rule[-1ex]{0pt}{0pt} & 11 \\
\hline
\rule{0pt}{2.5ex} \text{purple} \rule[-1ex]{0pt}{0pt} & 7 \\
\hline
\rule{0pt}{2.5ex} \text{orange} \rule[-1ex]{0pt}{0pt} & 6 \\
\hline
\rule{0pt}{2.5ex} \text{yellow} \rule[-1ex]{0pt}{0pt} & 9 \\
\hline
\end{array}

Blinky picks one balloon without looking and gives it to the first person who arrives at the party.

What is the chance it is white?

  1. \(\dfrac{1}{11}\)
  2. \(\dfrac{1}{27}\)
  3. \(\dfrac{1}{2}\)
  4. \(\dfrac{1}{3}\)
Show Answers Only

\(D\)

Show Worked Solution
\(P\text{(white)}\) \(=\dfrac{\text{Number of white balloons}}{\text{Total number of balloons}}\)
  \(=\dfrac{11}{11+7+6+9}\)
  \(=\dfrac{11}{33}\)
  \(=\dfrac{1}{3}\)

\(\Rightarrow D\)

Filed Under: Probability Tagged With: num-title-ct-core, smc-4225-35-Relative frequency

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