A. Probability of selecting a Junior given that the student prefers non-sport activities:
[tex]\begin{gathered} P(Junior\lvert Non-sport)=\frac{#Junior\text{ }non-sport}{#non-sport} \\ \\ P(Junior\lvert Non-sport)=\frac{421}{1621}=0.2597 \end{gathered}[/tex]The probability of randomly selecting a Junior given that the student prefers non-sport activities is 0.2597 (25.97% approximately 26%)
B. Probability of selecting a sophomore who prefers sports:
[tex]\begin{gathered} P(Sophomore\text{ }sports)=\frac{#sophomoresports}{#students} \\ \\ P(Sophomore\text{ }sports)=\frac{245}{2540}=0.0965 \end{gathered}[/tex]The probability of randomly selecting a sophomore who prefers sports is 0.0965 (9.65%)
