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Probability, SM-Bank 056

Marie has a bag containing various coloured balls.

Marie grabs a coloured ball from the bag and records the colour.

She then puts the ball back into the bag and repeats this process a number of times.

 
\begin{array} {|c|c|}
\hline
\rule{0pt}{2.5ex} \text{Orange} \rule[-1ex]{0pt}{0pt} & \ \ \text{Blue}\ \ \rule[-1ex]{0pt}{0pt} & \ \ \text{Red}\ \ \rule[-1ex]{0pt}{0pt} & \text{Green} \rule[-1ex]{0pt}{0pt} \ & \text{White} \rule[-1ex]{0pt}{0pt} & \text{Black} \rule[-1ex]{0pt}{0pt} & \text{Yellow} \rule[-1ex]{0pt}{0pt} \\
\hline
13 & 20 & 18 & 9 & 12 & 14 & 10\\
\hline
\end{array} 

Using the table, what is the probability that the next ball picked out by Marie will be yellow? (2 marks)

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

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

Show Worked Solution
\(P \text{(white)}\) \(=\dfrac{\text{Number of white}}{\text{Total number of selections}}\)
  \(=\dfrac{12}{13 + 20 + 18 + 9 + 12 + 14 + 10}\)
  \(=\dfrac{12}{96}\)
  \(=\dfrac{1}{8}\)

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

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