A random survey was taken at ARC on how many vegetarians and

A random survey was taken at ARC on how many vegetarians and “meat lovers” are there based on the sex of the students. Below are the results. (Assume no one is a vegetarian and a meat lover.)

female/males

Vegetarian 20 / 12

Meat Lover 30 / 40

One person is randomly selected from the survey. Find the probability that the person is a meat lover or male?

Solution

Prob that a person is a meat lover or male

= Prob for meat lover + Prob for male - Prob for both

= (70+52-40)/Total

= 82/102 = 0.804