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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 a student opposed to the change or a faculty member who has an opinion either for or against. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Survey Results on Restructuring Campus to Include an Honors College
Category Favor Oppose Neutral Total
Faculty 6 15 15 36
Students 41 41 58 140
Total 47 56 73 176

Respuesta :

The probability that a randomly selected person is either a student opposed to the change or a faculty member who has an opinion either for or against is given as follows:

31/88.

How to calculate the probability?

A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of outcomes in this problem is given as follows:

176 people.

The desired outcomes are given as follows:

  • Student opposed to the change: 41.
  • Faculty member who is either for or against: 6 + 15 = 21.

(these outcomes are both calculated from the data given by the table).

Hence the probability is calculated as follows:

p = (41 + 21)/176 = 62/176 = 31/88.

More can be learned about probabilities at https://brainly.com/question/14398287

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