A baseline of one in forty
The standard Monopoly board has 40 squares arranged in a loop. If a piece were equally likely to be on any square at any moment, each square would be visited about 1 time in 40, or 2.5 percent of the time. That is the natural baseline, and the interesting question is how far real play departs from it.
It does depart, and the reasons are clear. Three features of the rules push visits toward some squares and away from others: the two-dice roll, the jail rules and the cards that move pieces. The effects are only visible in the long run, over many turns and many games. In any single game, luck dominates.
Two dice set the rhythm
A piece moves by the sum of two six-sided dice, which averages 7 spaces and is most often 6, 7 or 8. On a plain loop with no special rules, that alone would not favour any square: the long-run landing odds work out to roughly one visit per seven laps for every square, whichever square you pick.
What the dice do is shape the effect of the special squares. A piece that leaves a special square tends to land a typical distance away, because two-dice sums cluster around 7, so the squares about 6 to 8 steps beyond it pick up extra visits. Only that consequence matters here.
Jail is the strongest pull
The jail square is typically the most-visited square on the board. The reasons are several:
- The square marked “Go to Jail” sends a piece there directly.
- Certain cards send a piece to jail.
- In the common rules, rolling doubles three times in a row also sends a player to jail.
- A player in jail stays on that square for one or more turns, adding visits each time.
The exact visit rate depends on how a group plays, including whether players pay to leave early, so the numbers vary with house rules. What does not vary is the direction: jail takes in far more than its 2.5 percent share.
The squares that sit one roll beyond jail then pick up extra visits. A player leaving jail starts from square 10 on the board, and the most common two-dice totals of 6, 7 and 8 carry the piece to the group of squares from St. James Place through New York Avenue. In analyses of the game, the orange properties are widely reported as being landed on more often than the average property. That is a long-run tendency, not a rule of any given game.
Cards that move pieces
Chance and Community Chest cards include some that move a piece to a named square, such as the start square, a particular property or the nearest railroad or utility. Each of these takes visits that would otherwise be spread across the board and places them on specific squares. A railroad square, for example, receives visits both from normal dice moves and from “advance to the nearest railroad” cards. This helps explain why railroads tend to appear among the more frequently visited squares.
Cards also move a piece backwards or to jail, which feeds the jail effect. Because the card squares themselves are landed on regularly, the cards add a small but steady redistribution on top of the dice.
The exact set of cards and squares differs between editions and between regional versions, and house rules vary further. Treat any list of “best” squares as applying to a particular rule set rather than to Monopoly in general.
How the visit rates are worked out
Statisticians model the board as a chain of states: each square is a state, and the dice and cards define the chance of moving between them. This is the setting for Markov chains, which can be solved exactly to give the long-run share of time on each square. Alternatively, a Monte Carlo simulation plays thousands of simulated turns and counts the visits. Both approaches agree closely when set up with the same rules, and both depend on those rules. Changing how jail works, for instance, changes the whole table.
Because the full table depends on the exact rules and requires a computer to produce, this article does not quote specific percentages. If you want precise values, work them out from the rule set you actually play.
Visit rate is not the same as value
It is tempting to treat the most-visited squares as the best purchases. That is not automatically true. A square’s worth depends on what it costs, what it charges in rent, how many houses can be built, and how quickly the owner can afford to develop it. A frequently visited cheap property may earn less than a rarely visited expensive one with a high rent. Visit frequency is one input, and a useful one, but it is no guarantee of winning. Early dice luck and trading decisions often matter at least as much, and it is hard to assign precise weight to each.
What to take from it
The neat summary is that Monopoly’s board is not an even playing field for visits. Jail and card squares draw more traffic, and squares a typical roll away from jail draw more than their share. These are tendencies that show up across many games, and they do not predict where your piece will go next. Each roll is independent, and the board has no memory of where a piece has been.