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.

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.
September 1st, 2010 at 2:08 am
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.
September 1st, 2010 at 2:16 am
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