Final answer:
The question explores the probability of avoiding certain properties in a game of Monopoly. While specific dice roll outcomes are required to calculate the exact probability, the solution involves identifying potential rolls that land on safe properties and determining the proportion out of all possible dice rolls.
Step-by-step explanation:
The question asks about the probability of a game scenario in Monopoly. When your game piece is on North Carolina Avenue, you want to find the probability of avoiding Park Place and Broadway with hotels on your next move. This requires knowledge of the possible dice rolls that allow you to land on spaces that are not Park Place or Broadway.
Steps to Determine Probability
- Identify the position of Park Place and Broadway relative to North Carolina Avenue.
- Calculate the total possible outcomes when rolling two six-sided dice (2 to 12).
- Determine the specific dice roll totals that would land you on Park Place or Broadway.
- Subtract the number of those specific rolls from the total possible outcomes to find the number of safe rolls.
- Divide the number of safe rolls by the total rolls to get the probability of avoiding Park Place and Broadway.
However, as the specifics of the dice rolls are not given in the question, we cannot calculate the exact probability. Generally, the probability would be the fraction of safe rolls over the total possible rolls.