Of course, it could take many more or fewer rolls, depending on whether your opponents roll high or low numbers when they land on your property. If you owned both utilities, they would need to roll 22 times each for the same to happen. In a typical four-player Monopoly game, if you own a single utility, your opponents would each need to roll the dice an average of 66 times for you to get a return on your investment. This is demonstrated in the following table… If you owned both utilities, they would need to roll 79 times for the same to happen. In a typical two-player Monopoly game, if you own a single utility, your opponent would need to roll the dice an average of 199 times for you to get a return on your investment. How many turns does it take to get a return on investment from the Monopoly utilities? On each roll of the dice, a player has a 2.6% chance of landing on the Electric Company, a 2.8% chance of landing on Water Works, and a 5.4% chance of landing on either utility. What is the chance of landing on Water Works or Electric Company in each turn? Remember that when you have both utilities, you also have double the potential to earn rent. Therefore, it will take between 3 and 15 landings to make a profit, with an average of 5 landings to make a profit. If you own both the Water Works and Electric Company, you will earn between $20 and $120 each time another player lands on them, with an average rent of $70. Therefore, it will take between 3 and 19 landings to make a profit, with an average of 6 landings to make a profit. If you own a single Monopoly utility, you will earn between $8 and $48 each time another player lands on it, with an average rent of $28. How many times does a player have to land on the Monopoly Utilities to get your money back?
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