Analyze Knights-and-Knaves Dialogue Variants
Company: SIG (Susquehanna)
Role: Data Scientist
Category: Statistics & Math
Difficulty: medium
Interview Round: Technical Screen
On an island where every person is either a knight (always tells the truth) or a knave (always lies), you meet two people, A and B. Person B says to A: "You always lie," and then makes one additional claim chosen from exactly one of the following four variants:
1) "A is a knave and B is a knight."
2) "A is a knight and B is a knave."
3) "A is a knave and B is a knave."
4) "A is a knight and B is a knight."
For each variant independently, determine the logically consistent identities of A and B (knight or knave), or conclude that the information is insufficient or inconsistent. Show your reasoning.
Overview: Analyze Knights-and-Knaves Dialogue Variants evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.