dice15
June 6th, 2017 at 4:42:58 AM
permalink
- Yesterday I played a game called dice15. The game is played with 1 dice. The game can be played with as many people as you want ( most likely between 2-8 players).
Every player starts with betting 1 unit ( for example 1 dollar). The object of the game is to get as close to 15 (15 is best score). You can roll the dice as many times as you want but you have to count every roll.
For example:
first roll: 5
2e roll: 3
3th roll 6
The score is now 14. ( you may throw one more time to try to throw the 1, but not very smart to do that).
other example
first roll 1
2e roll 2
3th roll 1
4th roll 4
5th roll 5
6th roll 3
The score is now 15. The maximum !
- The person how gets 15 or has the highest score that's not more than 15 wins. If you throw more than 15 you have to pay the entire pot.
For example
5 players: 5 units in the pot
you get a score of 12 and throw a 4. This gave you a score of 16. You have to pay 5 units.
- If two or more players throw the same highest score( a tie), then everybody has to pay 1 unit again and the game start againfor all players. The player that throws the last highest score begins. The game is played clockwize.
For example
player1 : 14score
player2: 12score
player3 14score
player4: 11 score
The start pot is 4 units ( 1 unit x 4 players). Player 1 and 3 has the same score of 14. Everybody has to pay 1 unit. The entire pot is now 8 units. Player 3 is the first shooter.
- You have to pay again the entire pot if you throw more then 15. In previous example this would be 8 units. There is no maximum on how many times a game can tie. Sometime the pot can get really big.
- Special rules:
- you have to throw on a score of 10
- If the first person throw a score of 15, he will take immediately the entire pot. ( only the very first throw. A pot that starts again because two or more players has the same high score does not count).
My question is: can someone make a statistical analyse of when to throw and when not to ?
Its logical that isn't smart to throw on a 14 but when you get a score of 11 or 12 the game is sometimes tricky. It depends on what is the highest score is. For example if someone has already a score of 15 it seems not smart to throw on 11 because you can't win. Only a tie to start the game al over again and if you throw more than 15 you have to pay. But in some situation I think it s smart to throw for example when you re last to throw and the highest score is 12 and you have 11. ( This isn't math proofed, i just think this is).
Every player starts with betting 1 unit ( for example 1 dollar). The object of the game is to get as close to 15 (15 is best score). You can roll the dice as many times as you want but you have to count every roll.
For example:
first roll: 5
2e roll: 3
3th roll 6
The score is now 14. ( you may throw one more time to try to throw the 1, but not very smart to do that).
other example
first roll 1
2e roll 2
3th roll 1
4th roll 4
5th roll 5
6th roll 3
The score is now 15. The maximum !
- The person how gets 15 or has the highest score that's not more than 15 wins. If you throw more than 15 you have to pay the entire pot.
For example
5 players: 5 units in the pot
you get a score of 12 and throw a 4. This gave you a score of 16. You have to pay 5 units.
- If two or more players throw the same highest score( a tie), then everybody has to pay 1 unit again and the game start againfor all players. The player that throws the last highest score begins. The game is played clockwize.
For example
player1 : 14score
player2: 12score
player3 14score
player4: 11 score
The start pot is 4 units ( 1 unit x 4 players). Player 1 and 3 has the same score of 14. Everybody has to pay 1 unit. The entire pot is now 8 units. Player 3 is the first shooter.
- You have to pay again the entire pot if you throw more then 15. In previous example this would be 8 units. There is no maximum on how many times a game can tie. Sometime the pot can get really big.
- Special rules:
- you have to throw on a score of 10
- If the first person throw a score of 15, he will take immediately the entire pot. ( only the very first throw. A pot that starts again because two or more players has the same high score does not count).
My question is: can someone make a statistical analyse of when to throw and when not to ?
Its logical that isn't smart to throw on a 14 but when you get a score of 11 or 12 the game is sometimes tricky. It depends on what is the highest score is. For example if someone has already a score of 15 it seems not smart to throw on 11 because you can't win. Only a tie to start the game al over again and if you throw more than 15 you have to pay. But in some situation I think it s smart to throw for example when you re last to throw and the highest score is 12 and you have 11. ( This isn't math proofed, i just think this is).
Last edited by: jan2320 on Jun 6, 2017
June 7th, 2017 at 10:54:19 AM
permalink
you mean 1 DieQuote: jan2320- Yesterday I played a game called dice15. The game is played with 1 dice.
I made that mistake many times in my early days
looks difficult to do.Quote: jan2320<snip>
My question is: can someone make a statistical analyse of when to throw and when not to ?
I set up a transition matrix in Excel real fast
https://goo.gl/ASwjNX
cell Y1 can B changed to see different probabilities
here is a photo of a different method in Excel
the probability of getting to exact 15 from 0 = 0.286113932
you can use binomial distribution probability
to find other values too
say 4 players
chance 0 of them hits exact 15 = 0.259726119
1/ 0.416376027
2/ 0.250315115
3/ 0.066881486
4/ 0.006701253
calculator is handy
http://www.di-mgt.com.au/binomial-calculator.html
<<<<<>>>>>
so one could take that and figure expected value at each total of 10 or more
add them all up
lots of work
someone can do it
or just figure your best play at each total...
Sally
BTW,
I do not like that one player starts and stops
B4 another plays
I would rather have it where each player only rolls one time
and scores are kept
like in poker
well, that is me
have fun!
I Heart Vi Hart
