In a recent survey, people were asked what their favorite meal of the day was. The percentages of people's favorite meals are shown.

\begin{tabular}{|c|c|}
\hline
Breakfast & [tex]$30 \%$[/tex] \\
\hline
Lunch & [tex]$24 \%$[/tex] \\
\hline
Dinner & [tex]$46 \%$[/tex] \\
\hline
\end{tabular}

Use the drop-down menus to complete the sentences below.

If you choose a person at random, choosing a person whose favorite meal of the day is [tex]$\square$[/tex] has the highest probability.

This [tex]$\square$[/tex] necessarily mean that choosing a person whose favorite meal is dinner is likely to happen.



Answer :

To solve this question, we start by examining the given percentages of people's favorite meals. The table shows the following data:

[tex]\[ \begin{tabular}{|c|c|} \hline Breakfast & 30\% \\ \hline Lunch & 24\% \\ \hline Dinner & 46\% \\ \hline \end{tabular} \][/tex]

First, identify the meal with the highest percentage, which represents the highest probability of being someone's favorite meal. By comparing the given percentages:

- Breakfast: 30%
- Lunch: 24%
- Dinner: 46%

We see that Dinner has the highest percentage at 46%. Therefore, if you choose a person at random, the meal with the highest probability of being their favorite is Dinner.

Completion of the sentences:

1. If you choose a person at random, choosing a person whose favorite meal of the day is [tex]\( \text{dinner} \)[/tex] has the highest probability.

2. This [tex]\( \text{does} \)[/tex] necessarily mean that choosing a person whose favorite meal is dinner is likely to happen.

So, the final answer is:

If you choose a person at random, choosing a person whose favorite meal of the day is dinner has the highest probability.

This does necessarily mean that choosing a person whose favorite meal is dinner is likely to happen.