11 votes

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

The key change in reversing the direction of movement is the fact that players now leave Jail in the opposite direction. The oranges and reds are particularly profitable because they are within 1-2 ...
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11 votes
Accepted

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

Linked in Probabilities in the Game of Monopoly® by Truman Collins, are C source code files written to calculate the probabilities of normal Monopoly. We can just roll up our sleeves and tweak the ...
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  • 126
8 votes

Does this mining mechanic add genuine choice to my game?

Instead of modeling you can compute these results exactly. If you roll n dice at difficulty d, the variance will be [d * n * (d-1)/6 * (7-d)/6], and the mean net gain will be [d * n * (7-d)/6 - 1]. ...
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8 votes
Accepted

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

The short answer is "Yes, but...". The longer answer is, as per the paper in question, that a team of researchers did some calculations on what would happen in a 2-player game of Monopoly where both ...
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  • 10.3k
7 votes

I am wondering how in the world the number 136,694 of directly dealt out Gin hands was arrived at

According to the accepted answer on the post containing that number, it originates in the book How to Win at Gin Rummy: Playing for Fun and Profit by Pramod Shankar. Unfortunately, the book doesn't ...
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  • 10.3k
5 votes
Accepted

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

My original answer assumed that there was no penalty for guessing incorrectly. This answer assumes that you are playing with the rule that incorrect guesses cause a game loss. My original answer is ...
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5 votes

What are the chances of winning Accordion Solitaire?

Accordion According to one of the biggest player on the solitaire market (SolSuite), the game of Accordion (one card at a time version) has a chance of winning in about 1 of 200 games, i.e. 0,5% ...
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  • 1,494
5 votes

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

The reason that equity is used instead of winning probability is because it is possible to win a single game, a double game (gammon) or triple game (backgammon). Let's say that the value of the game, ...
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  • 20.6k
4 votes

Which country spends the most on board & card games?

So looking online I found this from 2015. It says More are sold per capita in Germany than anywhere else on earth Magic the Gathering is big, with something like 20 million players worldwide, ...
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  • 424
3 votes

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

For me, I would divide the deck into smaller parts that you can handle. Riffle shuffle (or any way you like) those and mix the small decks together, one group at a time.
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3 votes

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

Playing online against 3 computer opponents, one of my games would typically last 30-45 turns. I used the standard rules (i.e., no money on Free Parking, limited number of houses and hotels). Because ...
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  • 3,555
2 votes

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

You can "translate" the word "equity" as a value of the particular position. Lets imagine we are one roll away from ending the match and we only have two checkers on deuce point. We will win with the ...
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  • 131
2 votes

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

I would suggest checking out the Board Game Geek Avalon community. People regularly record their play sessions and the users on the forums are usually willing to go into in-depth analysis and ...
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  • 362
2 votes

Early game bidding as Greyjoy

The answer to this question will be very heavily dependent on your group, and their groupthink. In my experience, often bidding 3 on the blade would not result in getting it (I would probably be 2nd ...
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  • 644
2 votes

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

You would usually not skip the Go square (and the chance to collect $200) before going to Jail. The exceptions would be the Chance square between Oriental and Vermont (light blues), and the community ...
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  • 20.6k
2 votes

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

I haven't heard of this variation. Nuclear Wang's analysis is correct. Note the Dark Blues getting a frequency boost along with their high rent would cause ownership of that color group be key to ...
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  • 810
2 votes
Accepted

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

Three Independent sources counted about 136,694 Gin hands, out of 15.8B possible 10-cards hands. 2+2 forum post: 1 in ~118,000. Using brute force which checked for Gin each of the 15.8B hands. ...
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  • 3,478
2 votes

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

Someone one the FB page where this question was originally posted found this answer from the School of Operations Research and Information Engineering Cornell University Ithaca NY 14853, USA ...
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2 votes

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

Wizards of the Coast deliberately obscures this data. Several years ago, some fans created a website that used bots to automatically crawl Magic the Gathering Online's matches to construct a table ...
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2 votes

Is there a quantification of how much skill a game requires?

I can think of two mathematical measures that might be useful, both based around Elo ratings. Is the correct Elo distribution function. Let's suppose Player B beats Player A 64% of the time, and ...
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1 vote

Is there a quantification of how much skill a game requires?

Compare the Expected value to the Standard Deviation. The higher the luck factor in the game, the higher S.D(X) - E(X). For example, lets look at a game of Poker with high and low amount of luck: ...
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  • 3,478
1 vote

Euchre, four handed, nines through Aces

1 in 6. Since you're asking about the the possibility of four clubs in another hand, I'll go ahead and state the unstated assumption: you mean that you don't have any clubs other than the Jack and Ten ...
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1 vote

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

Winrate when going first and second: this is clearly going to depend on the format, and since all the commonly-played formats are changing over time, this data will never remain up-to-date. Wizards ...
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  • 11.6k
1 vote

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

I have played Gin often with my family, at least several hundred rounds. I do not recall ever having participated in a game which ended in a draw. I will note that I have primarily participated in ...
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1 vote

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

EDIT: this count is flawed, it doesn't recognize sets of three that include a spade. The correct number is given in the accepted answer. When the code is corrected, it gives the 136,694 unique gin ...
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1 vote

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

According to a Ted-Ed article entitled Here's how to win at Monopoly, according to math experts ... the average game of Monopoly takes about 30 turns per competitor... Reference https://blog....
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1 vote

Proper Opening Moves

In The Backgammon Book, World Champions Oswald Jacoby and John Crawford recommend with both 6-2 and 6-3 moving one runner to the bar point and one man from the 12-point into your own outer table; ...
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1 vote

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

Equity is especially useful because it pre-calculates some of the analysis used in utilizing the Doubling Cube. Consider the situation described by @Skytten: We have two chequers on the 2-point to ...
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1 vote

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

From my experience to much revolves around the players skill and play style to track from group to group. What may be a balanced combination for some groups will be unbalanced for others. What you ...
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  • 13.6k
1 vote

How can I do better than chance in Uno?

Specifically, for the colors to choose for wild cards, you could look at every discarded card and the ones in your hand to determine which color has the fewest remaining cards left in it (but people ...
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  • 518

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