Question

Which of the following demonstrates a fair choice of 1 from among 12 candidates?
A.
Assigning each candidate a sequence while rolling a die and flipping a coin (for example: 1-H).
B.
Assigning each candidate a 4-digit number made of the digits from 0-4. Shuffling a bag of four balls numbered 0-4 and picking one at a time in order.
C.
Assigning each candidate a sequence of 4 heads or tails (for example: H-T-T-H) and flipping a coin four times to pick the winning sequence.
D.
Assigning each candidate a 2-digit sequence that is decided by throwing two dice where order does not matter (for example: 3-4, 2-6).
E.
Assigning each candidate a number that is decided by throwing two dice of different colors to distinguish the order of the outcomes (for example: 3-4, 4-3, 6-6)

Answer 1

There are 12 candidates so the selection method must be able to assign each candidate 1 out of 12 unique outcomes

Look at each answer choice and see which one has a sample space of exactly 12 equally likely outcomes