its almost impossible to lose rock paper scissors

case:
1.win
2. draw
3. loss

cost of each as a sum of paid and won
1. -x + 0
2. -x + 1/2x
3. -x + 3x

assuming each got an equal chance just add them together
-x+0-x+1/2x-x+3x=1/2x

that is 1/2x above 0 which means that technically each bet you gain half of your initial bet