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11 August, 10:24

After law school, you visit an island where everybody is a truth-teller or a liar, and get caught up in a criminal trial. The prosecutor, who is either a truth-teller or liar herself, says: X is guilty. X and Y are not both guilty. Can we determine who is guilty and who is innocent?

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  1. 11 August, 13:36
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    No, we cannot determine who is guilty and who is innocent.

    Step-by-step explanation:

    The prosecutor is either a truth teller or a liar.

    The probability of her telling the truth is 0.5, which is the same probability of her telling lies.

    Now, she said: X is guilty.

    We cannot determine who is guilty and who is innocent, because X and Y both have equal chances of being guilty or innocent, which is due to the equal chances of her telling the truth, and telling a lie.
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