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 ...
Nuclear Hoagie's user avatar
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 ...
N'Katar's user avatar
  • 126
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 ...
ConMan's user avatar
  • 11.4k
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]. ...
Benjamin Cosman's user avatar
7 votes
Accepted

Does a maximally clumped deck or a mana woven deck require require more shuffling to sufficiently randomize?

It doesn't make a difference. No deck in a known order is more or less random than any other deck in a known order. A deck with all of the lands together requires just as many shuffles for ...
murgatroid99's user avatar
  • 81.9k
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 ...
ConMan's user avatar
  • 11.4k
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 ...
Arcanist Lupus's user avatar
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% ...
Ola Ström's user avatar
  • 1,596
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, ...
Maltanis's user avatar
  • 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.
user17556's user avatar
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 ...
mmathis's user avatar
  • 3,607
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 ...
Hal's user avatar
  • 654
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 ...
Tom Au's user avatar
  • 21.9k
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 ...
Lee's user avatar
  • 816
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. ...
Cohensius's user avatar
  • 4,177
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 ...
Robert Miller's user avatar
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 ...
nick012000's user avatar
2 votes

Does a maximally clumped deck or a mana woven deck require require more shuffling to sufficiently randomize?

murgatroid99's answer sufficiently answers the question, this is more of a philosophical take on deck randomisation. A perfectly random ordering is such that every possible order is equally likely. ...
Matthew Jensen's user avatar
2 votes

Is there a complete study on the statistics to bid?

Most of the study was made on Spade's "bigger brother" Bridge, however some work has been done on Spades as well. At 2020, during my ph.d I wrote a paper called Bidding in Spades. If you ...
Cohensius's user avatar
  • 4,177
2 votes

Which Ranking system is best for my group that play Hearts?

From what I understand, I think that you are looking for some players-rating system. The most known system is ELO. In a nutshell, the ELO compute the probability for player A to win player B (and ...
Cohensius's user avatar
  • 4,177
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 ...
Alexander Woo's user avatar
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: ...
Cohensius's user avatar
  • 4,177
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 ...
L. Scott Johnson's user avatar
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 ...
Allure's user avatar
  • 13.3k
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 ...
user30049's user avatar
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 ...
L. Scott Johnson's user avatar
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....
Robert Miller's user avatar
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; ...
Forget I was ever here's user avatar
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 ...
user45266's user avatar
  • 546
1 vote

Backgammon Statistics To Know

You should always accept a double if your winning expectation from the current situation is 25% or more. You should never accept a double when you have less.
Nij's user avatar
  • 3,522

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