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 ...
- 126
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 ...
- 3,564
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]. ...
- 11.1k
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 ...
- 11.9k
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 ...
- 11.9k
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 ...
- 83.3k
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 ...
- 12.6k
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%
...
- 1,656
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, ...
- 424
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 ...
- 3,607
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 ...
- 22.4k
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 ...
- 814
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
...
- 3,160
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 ...
- 732
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.
...
- 4,558
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. ...
- 1,614
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 ...
- 4,558
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 ...
- 4,558
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 ...
- 2,797
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: ...
- 4,558
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 ...
- 11.5k
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 ...
- 11.5k
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 ...
- 19
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....
- 3,160
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 ...
- 546
Only top scored, non community-wiki answers of a minimum length are eligible