A certain prize wheel has 12 spots on it.
Five of the spots contain cash values of $\$500$. Five other spots contain cash values of $\$1,000$. One spot contains a cash value of $\$10,000$. The $12$th spot represents a bankruptcy, resulting in losing all money gained from previous spins.
In this game, the player spins until he gets a bankruptcy or chooses to stop. One particular player has bad luck and thinks the wheel may not be balanced in a fair way so that each spot does not have the same likelihood of getting stopped on.
Which of the following methods of geometric simulation could determine if the player is correct?