Beach Day by Rodger Bliss
September 2022

Which Envelope

A wealthy wise old woman feared that her daughter was lazy and as a result rather stupid. When the old woman died, her will stipulated that her assets were to be liquidated and a check was to be written for the full amount. The check was to be placed in one of three envelopes. The other two envelopes would contain a blank piece of paper. If the daughter could determine from the writing on the envelope which envelope contained the check, she
would inherit her mother’s fortune. Otherwise, the fortune would go to the old woman’s favorite charity for animals. The daughter was not allowed to touch the envelopes. Her decision had to be made based on the writing on the envelopes. The daughter was told
that only one envelope had a true statement and that the other two statements were false.

The envelopes had the following writing:

1. This envelope does not have the check
2. This envelope has the check
3. The second envelope does not have the check

Which envelope should the daughter pick?

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2 guesses to Which Envelope

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  • Roolstar

    Statements 2 and 3 are direct opposites therefore one of them is true (The only true statement of the 3)

    Therefore, statement 1 should be false and Envelope 1 has the check!

    Statement 1: False
    Statement 2: False
    Statement 3: True

  • You are correct, Rool!

    The daughter should pick envelope 1.

    Unfortunately she picked envelope 3. Statements 1 and 2 were false, and the only true statement was statement 3. If the check was in envelope 1, that would make statement 1 false, statement 2 false and statement 3 is the only true statement. If the check was in envelope 2, statements 1 and 2 would both be true. If the check was in envelope 3, statements 1 and 3 would both be true.

    You’re today’s winner!