Only 20 of a sample of 275 students say they are vegetarians. Of these, nine eat both milk products and eggs (lacto-ovo vegetarians), three eat eggs but not milk products, and eight eat neither (vegans.) If we choose one of those 275 students at random and the chosen student turns out to be a vegetarian, what is the probability that the chosen student eats neither milk products nor eggs?
A) 8/275
B) 20/275
C) 8/20
D) 0.5
E) 1

Question

Quizplus · Accepted Answer

Out of the 20 vegetarians, 8 of them eat neither milk products nor eggs. Therefore, the probability that the chosen vegetarian eats neither milk products nor eggs is 8/20, which simplifies to 2/5.

Only 20 of a Sample of 275 Students Say They