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Probability, SM-Bank 068 MC

A biased die has 6 faces numbered from 1 to 6.

Jackson throws the die 60 times and records the results in the table below.
 

\begin{array} {|c|c|}
\hline
\rule{0pt}{2.5ex} \textbf{Number} \rule[-1ex]{0pt}{0pt} & \ \ 1\ \ & \ \ 2 \ \ & \ \ 3 \ \ & \ \ 4 \ \ & \ \ 5 \ \ & \ \ 6 \ \ \\
\hline
\rule{0pt}{2.5ex} \textbf{Times} \rule[-1ex]{0pt}{0pt} & \ \ 8\ \ & \ \ 14 \ \ & \ \ 9 \ \ & \ \ 13 \ \ & \ \ 7 \ \ & \ \ 9 \\
\hline
\end{array} 

Using the table, what is the probability that Jackson throws a 2 on his next throw?

  1. \(\dfrac{7}{30}\)
  2. \(\dfrac{14}{46}\)
  3. \(\dfrac{1}{5}\)
  4. \(\dfrac{1}{6}\)

Show Answers Only

\(A\)

Show Worked Solution
\(P(2)\) \(=\dfrac{\text{Number of 2’s}}{\text{Total number of throws}}\)
  \(=\dfrac{14}{60}\)
  \(=\dfrac{7}{30}\)

 
\(\Rightarrow A\)

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

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