The following table shows the breakdown of opinions for both faculty and students in a recent survey about the new restructuring of the campus to include an honors college. find the probability that a randomly selected person is either in favor of or opposed to the restructuring. express your answer as a fraction.

The following table shows the breakdown of opinions for both faculty and students in a recent survey about the new restructuring of the campus to include an hon class=

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Given:

The number of people are in the favor of restructuring is 50.

The number of people are in the oppose of restructuring is 82 .

The total number of persons is 182.

The probability of persons is in the favor of restructuring is,

[tex]\begin{gathered} \text{Probability}=\frac{Desired\text{ outcomes}}{t\text{otal outcomes}} \\ P_F=\frac{50}{182} \end{gathered}[/tex]

The probability of persons is in the oppose of restructuring is,

[tex]P_O=\frac{82}{182}[/tex]

To find the probability that a randomly selected person is either in favor of or opposed to the restructuring,

[tex]\begin{gathered} P(\text{Favor or oppose)=}P_F+P_O \\ =\frac{50}{182}+\frac{82}{182} \\ =\frac{50+82}{182} \\ =\frac{132}{182} \\ =\: \frac{66}{91} \end{gathered}[/tex]

Answer:

[tex]P=\frac{66}{91}[/tex]