- #1
DesertFox
Let's consider a game of paper, scissor, rock. We have two players: player A and player B. Player A always do paper; player B always uses a strategy, where he tosses a die, and if it comes out 1 or 2- he goes rock, if it comes out 3 or 4- he goes paper, and if it comes out 5 or 6- he goes scissor.
1) If the game is played just one time, e.i. we are considering one single "shot", who has better chance to be the winner?
2) If the game is repeated 100 times, who has better chance to get more wins? (both of the players stick rigidly to their initial strategy!)
3) If the game is repeated infinitely times, who has better chance to prevail on the long run? (both of the players stick rigidly to their initial strategy!)
Here it is my attempt to answer. I am answering really intuitively, because I lack the mathematical approach.
Nobody has better chance; the situation is 50/50.
But as I said, this is my pure intuition... I don't know whether I am right. And even if I am right... I can't explain WHY i am right (in mathematical context)
1) If the game is played just one time, e.i. we are considering one single "shot", who has better chance to be the winner?
2) If the game is repeated 100 times, who has better chance to get more wins? (both of the players stick rigidly to their initial strategy!)
3) If the game is repeated infinitely times, who has better chance to prevail on the long run? (both of the players stick rigidly to their initial strategy!)
Here it is my attempt to answer. I am answering really intuitively, because I lack the mathematical approach.
Nobody has better chance; the situation is 50/50.
But as I said, this is my pure intuition... I don't know whether I am right. And even if I am right... I can't explain WHY i am right (in mathematical context)