The empirical probability that an event A will occur is found by
[tex]\begin{gathered} P(A)=\frac{n(A)}{n(S)} \\ \text{ Where }n(A)\text{ is the number of times the event occurs and} \\ n(S)\text{ is the number of times the experiment is performed } \end{gathered}[/tex]So, in this case, let A be the event in which an employee works from home. Then, we have:
[tex]\begin{gathered} n(A)=17 \\ n(S)=51 \\ P(A)=\frac{n(A)}{n(S)} \\ P(A)=\frac{17}{51} \\ \text{ Simplifying} \\ P(A)=\frac{1\cdot17}{3\cdot17} \\ \boldsymbol{P(A)=\frac{1}{3}} \end{gathered}[/tex]Therefore, the empirical probability that an employee works from home is 1/3.
