Answer: The two dice are distinguishable, so the resulting 21 unordered pairs are not equally likely.
- A Unordered pairs are correct, but the arithmetic becomes harder to manage
- B The two dice are distinguishable, so the resulting 21 unordered pairs are not equally likely
- C Ordered pairs are only used when the dice have different numbers of faces
- D The sample space must always contain exactly 36 elements by definition
Correct answer: B. The two dice are distinguishable, so the resulting 21 unordered pairs are not equally likely
Explanation: Each ordered pair has probability 1/36, so an unordered pair like {2,3} has probability 2/36 while {4,4} has only 1/36 - collapsing them breaks the equally-likely assumption.
Concept context
Random experiments, sample space, events, and the axiomatic approach to probability