# Questions tagged [statistics]

Questions about where to find--and how to analyze--board and card game related data.

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### Is there any configuration of Free Cell that cannot be solved?

When I have free time in small durations, I often play Free Cell on my phone. The app that I use permits unlimited undos, and because of this I currently have a run of 603 wins, with 655 total wins ...
3k views

### Settlers of Catan Data

I'd like to do some statistical analysis on Catan games, but to do that I need data. Does anyone know of a place I can find empirical data on Catan play? The stronger the players, the better. Awesome ...
3k views

### What are the chances of losing Pandemic on the first turn?

I like probability questions, and it has been a while since tttpp's excellent analysis of losing in the first turn of Forbidden Island. I figured it might be interesting to calculate how likely you ...
14k views

### Axis and Allies - Is there a best country?

I've been told by several people that different countries are statistically better choices for Axis and Allies? Is there any evidence that one or more countries have a significant advantage?
6k views

### What is the optimal method to shuffle an organised deck of cards

In a number of games I play there are a play deck and a discard deck (for example Ticket to Ride and Pandemic). The discard deck, by the way the games are constructed, becomes organised as cards are ...
1k views

### In Hearts, played by experts, what is ratio of shooting the moon?

Because nobody knows the game-theoretical-optimal strategy in Hearts, I am looking for an approximation based on empirical data. For example, based on logs of games between expert players from an ...
1k views

### How do the Monopoly odds change when the board is played in reverse?

One semi-popular house rule is to play Monopoly as usual, but move the pieces counter-clockwise instead of the usual clockwise - that is, hit the higher-end properties first and move down toward the ...
856 views

### Is there a best character in Button Men? Is there a worst character?

Button Men is a free Print&Play game for 2 players. Each player chooses a character card, and the polyhedral dice associated with that character, and takes turns trying to capture their opponent's ...
5k views

### Statistical Approach to Winning Monopoly

There was a computer simulation run a few years ago for Monopoly which calculated the most likely properties and squares to land on and some other data. Does anyone have or know the stats of the ...
1k views

### How likely are you to lose because Fool's Landing sinks into the abyss?

Since I like probability questions, and tttpp brought it up, I figured it might be interesting to calculate how likely you are to lose on the first turn in Forbidden Island, because Fool's Landing ...
547 views

### Is “meaningful decisions per hour” a good measure for how fun a game might be?

People quickly grow out of games like Candy Land and Tic-Tac-Toe. They don't have any meaningful decisions to make. Then there are games like Monopoly, that have a few meaningful decisions to make, ...
4k views

### How can I do better than chance in Uno?

Just started playing Uno. What are the most important strategies that might improve my game? Of course luck is important, but I'm trying to do better than crossing my fingers. For example, before and ...
285 views

### Monopoly Stock Exchange add-on: How does the add-on change the probability of landing on the properties?

[tl;dr] Go to section Ā«The QuestionĀ», at the end... In 1936 and 1937, Parker Brothers published a Ā«Stock ExchangeĀ» add-on for Monopoly, Easy Money, and Finance; it was re-released for Monopoly, by ...
3k views

### Backgammon Statistics To Know

I recently committed to memory the likelihood of "Entering from the Bar" in a game of backgammon. i.e. 1 point defence - 97% 2 point defence - 89% 3 point defence - 75% 4 point defence - 56% 5 point ...
13k views

### What is the best way to shuffle a large deck without damaging the cards?

I'm quite familiar with a few methods of cards, primarily Riffling and Mongean* shuffling. The issue I have with those is that the Riffling shuffle tends to bend cards and wear them out, as well as ...
19k views

### What specific strategies have the highest win:loss ratio in Uno?

I decided to delve deeper into this question to discover exactly how effective certain strategies would have on your win percentage. This led me to this Stanford Computer Science project that pits ...
3k views

### What are the most frequently used Dominion cards in winning decks?

Which cards are most bought by players, and most often associated with winning decks?
12k views

### In Settlers of Catan, what seat position is the best for odds of recieving any resource?

If you use the standard rules, where the number tokens are laid out on the board in a pattern (small letters are below the pips), which seating position has the greatest odds of receiving the most ...
10k views

### Statistically when to stop rolling in Greed

I want to reduce the level of chance associated with the game Greed (also known as Farkle and Zilch). Has anyone looked into this or have a source that can give some good stats to answer the ...
203 views

### Is this true : «In a 2-player game of Monopoly, there is a 12% chance that the game will go on indefinitely.»

This supposedly Ā«fun factĀ» was posted on a Facebook game page. One commentator declared a 2-player game of Monopoly a zero-sum game; I stated that the bank acts as a 3rd player, injecting and ...
1k views

### Which country spends the most on board & card games?

I've been wondering which country spends the most money on board / card games? Are there any statistics available?
278 views

### How effective is a shield component during the first round?

I was looking over the Adventure cards for Round I of Galaxy Trucker. Adventure Cards 4x Open Space (move forward X engine power) 4x Abandon Ship -1 Day,(-2 Astro:\$3, -3 Astro:\$4, 5 Astro:YG, 6 ...
201 views

### Early game bidding as Greyjoy

You are playing the 6p Game of Thrones (2nd Ed) as Greyjoy. At the end of the first round, everyone still has exactly 5 power tokens. At the start of the second, a bidding on the influence tracks ...
224 views

### Does this mining mechanic add genuine choice to my game?

To be concise, I am designing a game based on resource/risk/conflict management. Units will be carrying around several piles of resources, which also power and boost actions like movement, attacking ...
303 views

### 1-on-1 unorganized tournament scoring system

Assume I want to run a game tournament with 1-on-1 games (think chess) that have (for simplicity) just win or lose as the outcome and I need a way to rank the players. Formally speaking, I want a ...
990 views

### What is the average number of turns in a game of Monopoly?

I can't find any research or public information on this topic. Edit: It was requested that I clarify the specifics of my request (e.g. the number of players and rule specifics). Rather than pigeon-...
157 views

### Does Avis or Iago have a better chance of winning a match?

In my quest to find the answer to this question, I have decided to start smaller. The rules of Button Men are here, and the characters are listed below. Avis: d4, d4, d10, d12, dX (where X is d4, d6, ...
159 views

### Is it better to ask a question or guess with 3 characters left in Guess Who?

Say you have 3 potential characters left. If you go with a guess, you have a 1/3 chance that turn and a 1/2 chance next turn. If you go with a hint, you would have a 50% chance of leaving 2 left (...
554 views

### How likely is it to survive a game of Barbarian Prince?

Barbarian Prince is a brutal paragraph based game. Your character must collect 500 gold and return to his homeland to win the game. Unfortunately, there are unfriendly guards, wolves, mobs of peasants,...
95 views

### What is the most time-efficient way to earn gold in Barbarian Prince?

Like the title says. Does this change over the course of the game (example, when you hire followers, when a wizard/witch/monk join your party)? What is the average gold earned per day using the most ...
160 views

### How likely is it to win a game of Barbarian Prince?

Barbarian Prince is a brutal paragraph based game. Your character must collect 500 gold and return to his homeland to win the game. Unfortunately, there are unfriendly guards, wolves, mobs of peasants,...
376 views

### Why is 'equity' much more commonly used than 'winning probability'? What is the mathematical formula that links 'equity" and 'winning probability'?

In backgammon, people always speak about 'equity', but never about 'winning probability'. To me, 'winning probability' seems much more simple and much more intuitive than 'equity'. So why is 'equity' ...
1k views

### Where can I find statistics on good/evil wins for the Resistance:Avalon for different role setups?

I'm trying to nail down exactly which roles work best for different numbers of players. While I have much anecdotal evidence from many game plays, I was wondering if anyone is actually keeping track ...
378 views

### In 4-player Unspeakable Words, what is the likelihood of more than one player not going insane?

Unspeakable Words is a word game where each player tries to score 100 points without going insane. Each player begins with 5 tokens that represent their sanity. Whenever a player scores a word, they ...
399 views

### Warhammer Fantasy Tournaments Statistics

I'm looking for raw tournaments result database/statistics, divided per format, date and including army distribution something like this : tabletoptournaments.net but where I cand filter by date and ...
1k views

### What are the chances of winning Accordion Solitaire?

I play that game and I would like to know what are the chances of winning it. Both the version which you lay out the cards one by one and the one that you lay out the entire deck first.
58 views

### In Gin-Rummy, how likely is that a round ends in a Draw?

In Gin-Rummy, when the deck reach the last two cards and no player have knocked, the rounds end in a draw. In games of experts, or at least experienced players, how often a round ends in a draw? I ...
319 views

### If I am going to build a small ship, which direction should I build toward?

The center of your spaceship board is on the '7's in all four directions. Since the odds of rolling a certain number increases as that number approaches 7, it seems reasonable to build toward one side ...
323 views

### Where to find MTG statistics: Starting player winrate, average turns, polarity?

A question about MTG statistics: There are several MTG statistics websites (e.g. AetherHub, MTGArenaPro), which do a great job to provide specific statistics about how good individual cards and decks ...
121 views

### Proper Opening Moves

What are the most common opening move for 6,2 and 6,3? It seems the logical move is to take a runner and move 8 or 9 pips. However, after playing a lot lately online I notice people also like to ...
543 views

### Is there a way to quantify the effects of luck versus skill in rubber bridge?

Duplicate bridge was created to "eliminate" the luck factor. That is partnerships are compared only against other partnerships playing the same cards. Rubber bridge is a different animal. Here, "luck ...
189 views

### In Gin-Rummy, what are the chances to start with a Gin?

In Gin-Rummy, in the start of a round players draw 10 cards. What is the probability to draw 10 cards such that all the cards are part of some meld?