Let's analyze the given percentages of students' favorite subjects:
- Math: [tex]\(30\%\)[/tex]
- English: [tex]\(25\%\)[/tex]
- Science: [tex]\(25\%\)[/tex]
- History: [tex]\(20\%\)[/tex]
To determine which subject has the highest probability of being a student's favorite, we compare the provided percentages:
1. Math: [tex]\(30\%\)[/tex]
2. English: [tex]\(25\%\)[/tex]
3. Science: [tex]\(25\%\)[/tex]
4. History: [tex]\(20\%\)[/tex]
Clearly, Math has the highest percentage among the listed subjects at [tex]\(30\%\)[/tex].
Therefore, if you choose a student at random, the subject with the highest probability of being their favorite is Math.
To express this in the sentences provided:
1. If you choose a student at random, choosing a student whose favorite school subject is Math has the highest probability.
2. This does necessarily mean that choosing a student whose favorite school subject is Math is likely to happen.
So, filling in the sentences:
[tex]\[
\text{If you choose a student at random, choosing a student whose favorite school subject is } {\textbf{Math}} \text{ has the highest probability.}
\][/tex]
[tex]\[
\text{This } {\textbf{does}} \text{ necessarily mean that choosing a student whose favorite school subject is math is likely to happen.}
\][/tex]
