SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

  • Login
  • Get Help
  • About

Probability, SM-Bank 042

Archer did a survey of his class, asking everyone what their favourite ice cream flavour is.

This table below shows the results.
 

\begin{array} {|l|c|}
\hline
\rule{0pt}{2.5ex} \textbf{Flavour} \rule[-1ex]{0pt}{0pt} & \textbf{Number of Classmates} \\
\hline
\rule{0pt}{2.5ex} \text{Chocolate} \rule[-1ex]{0pt}{0pt} & 14\\
\hline
\rule{0pt}{2.5ex} \text{Vanilla} \rule[-1ex]{0pt}{0pt} & 17 \\
\hline
\rule{0pt}{2.5ex} \text{Strawberry} \rule[-1ex]{0pt}{0pt} & 8 \\
\hline
\end{array}

What is the probability that a randomly selected classmate's favourite flavour is chocolate?

Round your answer to the nearest hundredth.  (2 marks)

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

Show Answers Only

\(0.39\)

Show Worked Solution
\(P\text{(likes chocolate)}\) \(=\dfrac{\text{number who chose chocolate}}{\text{total number of classmates}}\)
  \(=\dfrac{14}{14+17+8}\)
  \(=\dfrac{14}{39}\)
  \(=0.358\dots\)
  \(\approx 0.36\ \text{(nearest hundredth)}\)

Filed Under: Probability Tagged With: num-title-ct-core, smc-4225-15-Single-stage events

Copyright © 2014–2025 SmarterEd.com.au · Log in