Let's say the three sections of this course have 50, 70, and 80 students, respectively. We randomly pick one student, and everyone in the same section as that student gets a candy bar. What's the expected number of candy bars we'd give out?
here we have 50,70,80 students
which is a total of 200 students
probability of chosing section A[50 students] = 50/200 = 5/20
probability of chosing section B[70 students] = 70/200 = 7/20
probability of chosing section C[80 students] = 80/200 = 8/20
since the probability of picking the student of section C is most hence the probability of distributing 80 candies is the most.
So the expected value of candies we need to distribute is 80
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