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#1. Who wins and by how much?
Answer: Adam wins, 7-3
The key to solving this riddle is that Adam played scissors six times. Because there were no ties, that means Eve didn’t play scissors in any of those six games. Now look at the various hands Eve did play. Because she played scissors four times, and none of those could line up with one of the six times Adam played scissors, she must have played all six of her other hands on Adam’s six scissors.
Therefore, six of the games were as follows:
Adam: scissors vs. Eve: rock [Winner: Eve]
Adam: scissors vs. Eve: rock [Winner: Eve]
Adam: scissors vs. Eve: paper [Winner: Adam]
Adam: scissors vs. Eve: paper [Winner: Adam]
Adam: scissors vs. Eve: paper [Winner: Adam]
Adam: scissors vs. Eve: paper [Winner: Adam]
Now look at what is left over. We see that Eve has only scissors left. Therefore, the other four games are:
Adam: rock vs. Eve: scissors [Winner: Adam]
Adam: rock vs. Eve: scissors [Winner: Adam]
Adam: rock vs. Eve: scissors [Winner: Adam]
Adam: paper vs. Eve: scissors [Winner: Eve]
Thanks for playing along!
h/t: Popular Mechanics