Question

A school must select one student from the honors program to send to the annual math convention. Which of the following is NOT a mathematically fair way to select the student?

A) Use a random number generator to choose a student ID number.
B) Have the students play a game that involves flipping a coin. Heads is worth 2 points and tails is worth 1 point. The first student to reach 40 points wins the trip.
C) Have each teacher select their favorite student and then randomly draw one of those names.
D) Line the students up alphabetically. Each student selects a playing card. A card is then drawn from another deck. The student with the matching card wins.

Answer 1

Answer is option C.

Explanation:

This is because it does not take into account "random selection" (probability). Thus the mode of selection is biased. The mere fact that a teacher selects his favourite student means the experiment is biased.