Question

The following two-way table describes student'safter school activities. Find the probability that arandomly selected student is in music/drama.Grade SportsMusic/DramaWorkSophomore2073Junior20132Senior2555P(Music/Drama) = [?]Round to the nearest hundredth.

Answer 1

The two way table shows the following totals;

`\begin{gathered} Sports=65 \\ \text{Music / Drama=25} \\ \text{Work}=10 \end{gathered}`

The probability that a randomly selected student is in music/drama therefore is;

`\begin{gathered} P\lbrack E\rbrack=\frac{Number\text{ of required outcomes}}{Number\text{ of all possible outcomes}} \\ P\lbrack\text{ music/drama\rbrack=}(25)/(100) \\ P\lbrack\text{ music/drama\rbrack=0.25} \end{gathered}`