Yes, you're misunderstanding the statistics a bit. If you're choosing your moves...

kronusaturn on March 5, 2011 | parent | context | favorite | on: Rock-Paper-Scissors: You vs. the Computer

Yes, you're misunderstanding the statistics a bit. If you're choosing your moves randomly, your win rate will always be 1/3 no matter how non-random the computer's moves are... even if it keeps choosing the same thing over and over.