Alice and Bob played 25 games of rock-paper-scissors. Alice played rock 12 times, scissors 6 times, and paper 7 times. Bob played rock 13 times, scissors 9 times, and paper 3 times.
If there were no ties, who won the most games?
I don't know the answer.
My thinking is:
- When Alice plays 12 rock, she can win only 9 times (since paper 3 times ob will make her loose) : 9/12
- When Alice plays, scissors 6 times, she could loose 6 times or win 3 times: : 3/9
- When Alice plays, paper 7 times, she could win 7 times or loose 6 times:7/13
Don't know if this is the right approach.