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Probability, SM-Bank 055

Jackson spins a wheel with 5 different coloured sections and records which colour it lands on each time.

He repeats the process multiple times.

The table below shows the results.
 

\begin{array} {|c|c|}
\hline
\rule{0pt}{2.5ex} \text{White} \rule[-1ex]{0pt}{0pt} & \text{Yellow} \rule[-1ex]{0pt}{0pt} & \ \ \text{Red}\ \ \rule[-1ex]{0pt}{0pt} & \ \text{Blue} \rule[-1ex]{0pt}{0pt}\ \ & \text{Green} \rule[-1ex]{0pt}{0pt} \\
\hline
40 & 26 & 36 & 28 & 38\\
\hline
\end{array} 

Using the table, what is the probability that the next spin will be Blue?  (2 marks)

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

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\(\dfrac{1}{6}\)

Show Worked Solution
\(P \text{(Blue)}\) \(=\dfrac{\text{Number of blue}}{\text{Total number of throws}}\)
  \(=\dfrac{28}{40 + 26 + 36 + 28 + 38}\)
  \(=\dfrac{28}{168}\)
  \(=\dfrac{1}{6}\)

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

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