Ping Pong

Xavier, Yves and Zoé play Ping Pong a whole afternoon. 1 against 1, the third sitting and replacing the looser. Xavier played 10 times. Yves 15 times. Zoé 17 times.

Who lost the second match?

Kindly submitted by Paul Schwander.

2 Responses to “Ping Pong”

  1. Michael Maguire Says:

    Answer: Xavier

    A total of 21 games were played.

    Assume a particular player always loses. If they’re sitting the first match, they follow a pattern of SLSLSL…S. If they’re playing the first match, they follow a pattern of LSLSLS…L.

    Xavier sat the first match, lost the second, and then alternately sat / lost the rest.

  2. Michael Maguire Says:

    So in case you’re interested, here’s the full stats of the match:

    W / L
    Xavier v Yves: 0 / 4
    Xavier v Zoé: 0 / 6
    Xavier v All: 0 / 10

    Yves v Xavier: 4 / 0
    Yves v Zoé: 4 / 7
    Yves v All: 8 / 7

    Zoé v Xavier: 6 / 0
    Zoé v Yves: 7 / 4
    Zoé v All: 13 / 4

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