Casinos use probability to ensure that games of chance are able to provide both an opportunity to win and an opportunity to lose. As already mentioned above, these probabilities are often manipulated in order to ensure that the casino has a greater chance of winning games than the player. There are a lot of mathematical equations used in ensuring that this is possible. However, working out the probability formula used by casinos will not lead to a win. This is due to the fact that human interaction influences results too. This is why when players learn to cheat casinos, it is usually through a physical means, such as jamming a coin in a dispenser, rather than solving for x.