\begin{center}\begin{large}Purchasing decision\end{large}\end{center}

Andrea is shopping online for a new pair of headphones. She has identified a pair that she likes. However, she notices that even though the total number of reviews is small, the product received many poor reviews: a total of $25\%$ 1- and 2-star reviews.

\begin{center}\includegraphics[height=5cm]{PISA/2022/PISA_2022_Mathematics_items_Exo5_IMG1.jpg} \quad \includegraphics[height=5cm]{PISA/2022/PISA_2022_Mathematics_items_Exo5_IMG2.jpg}\end{center}

To help with her decision to buy the product or not, Andrea studied the comments for the 1- and 2-star reviews and noticed that some of the reviews have nothing to do with the quality or the functioning of the product.

She grouped the responses for the 1- and 2-star reviews and summarised her findings in the table.

\begin{center}
\begin{tabular}{|l|c|} \hline
REASON & Number \\ \hline
Headphones arrived late & 13 \\ \hline
Headphones did not arrive at all & 4 \\ \hline
Cable was damaged or missing & 7 \\ \hline
One or both earbuds were broken & 4 \\ \hline
Packaging was unattractive & 5 \\ \hline
Wrong rating (good review, bad rating) & 8 \\ \hline
\end{tabular}
\end{center}

Andrea looked through all the reviewers comments and noticed that only the 1- and 2-star reviewers made comments about poor quality or about the product arriving late or not at all.

Use the information from above as well as a calculator to answer the questions.

\begin{enumerate}
    \item What percentage of all of the reviews deal with poor quality of the product?
    \item What percentage of the 1- and 2-star reviews deal with the product arriving late or not at all?
    \item Andrea is concerned about the headphones arriving late or not at all. How likely is it that the product will arrive late or not at all? Express your answer as a fraction or percentage.
\end{enumerate}

