Question

Applicants to Avocado Conservatory Academy this year included 18 humans, 12 peafowl, 3 dogs, 8 goats and 5 cats. Only ten applicants are accepted each year.

If the applicants are randomly selected, what is the probability that exactly two applicants of each species will be accepted.

What if no goats were accepted? Would this suggest to you that the admissions process was biased against the goats? Use probability to justify your answer.

Answer 1

Total number of species = 18 + 12 + 3 + 8 + 5 = 46

The probability that exactly two applicants of each species will be accepted

The probability that no goats were accepted

Since probability that no goats were accepted is significantly different from 0, so one may conclude that the admission process was biased against the goats.