Question

Use the table below to answer questions:What is the probability of randomly selecting a junior given that the student prefers non-sport activities? What is the probability of randomly selecting a sophomore who prefers sports?

Answer 1

A. Probability of selecting a Junior given that the student prefers non-sport activities:

`\begin{gathered} P(Junior\lvert Non-sport)=\frac{#Junior\text{ }non-sport}{#non-sport} \\ \\ P(Junior\lvert Non-sport)=(421)/(1621)=0.2597 \end{gathered}`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:

`\begin{gathered} P(Sophomore\text{ }sports)=(#sophomoresports)/(#students) \\ \\ P(Sophomore\text{ }sports)=(245)/(2540)=0.0965 \end{gathered}`The probability of randomly selecting a sophomore who prefers sports is 0.0965 (9.65%)