2 dice vs 2 dice
August 17th, 2011 at 1:43:56 AM
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Hi all, I'm having some probability trouble, can someone help me out?
2 dice vs 2 dice
Odds one person rolls higher total?
Odds one person rolls double or more than the other?
Then what happens when we add 1 to the total to one set of dice? + 2? Etc..
Is there a formula for this?
Thanks
Mike
2 dice vs 2 dice
Odds one person rolls higher total?
Odds one person rolls double or more than the other?
Then what happens when we add 1 to the total to one set of dice? + 2? Etc..
Is there a formula for this?
Thanks
Mike
August 17th, 2011 at 2:15:33 AM
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wow, you are a newbie game designer as dice are the easiest to crunch numbers with. You can literally write down all the possible outcomes for one roll, have you tried that?
If you are going to be a game designer I would pick up a book on working out probabilities, or give it up.
If you are going to be a game designer I would pick up a book on working out probabilities, or give it up.
the next time Dame Fortune toys with your heart, your soul and your wallet, raise your glass and praise her thus: “Thanks for nothing, you cold-hearted, evil, damnable, nefarious, low-life, malicious monster from Hell!” She is, after all, stone deaf. ... Arnold Snyder
August 17th, 2011 at 2:17:21 AM
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You may find this chart helpfull. It gives the exact number of ways to roll one number then another. For example there are 15 ways to roll a 6 then a 4. There are 1296 total ways to roll 2 pairs of dice.
| roll | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 2 | 1 | 2 | 3 | 4 | 5 | 6 | 5 | 4 | 3 | 2 | 1 |
| 3 | 2 | 4 | 6 | 8 | 10 | 12 | 10 | 8 | 6 | 4 | 2 |
| 4 | 3 | 6 | 9 | 12 | 15 | 18 | 15 | 12 | 9 | 6 | 3 |
| 5 | 4 | 8 | 12 | 16 | 20 | 24 | 20 | 16 | 12 | 8 | 4 |
| 6 | 5 | 10 | 15 | 20 | 25 | 30 | 25 | 20 | 15 | 10 | 5 |
| 7 | 6 | 12 | 18 | 24 | 30 | 36 | 30 | 24 | 18 | 12 | 6 |
| 8 | 5 | 10 | 15 | 20 | 25 | 30 | 25 | 20 | 15 | 10 | 5 |
| 9 | 4 | 8 | 12 | 16 | 20 | 24 | 20 | 16 | 12 | 8 | 4 |
| 10 | 3 | 6 | 9 | 12 | 15 | 18 | 15 | 12 | 9 | 6 | 3 |
| 11 | 2 | 4 | 6 | 8 | 10 | 12 | 10 | 8 | 6 | 4 | 2 |
| 12 | 1 | 2 | 3 | 4 | 5 | 6 | 5 | 4 | 3 | 2 | 1 |
“Man Babes” #AxelFabulous
August 17th, 2011 at 2:31:43 AM
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I got the easy stuff down, like ~58% that I roll a 7 or lower total, it's just the comparing/combining of the 2 %,s that I am messing up.
Eg. How do I get to the double or more result? My math showed that one person would get double or more than the other less than 3% of the time, is that right?
Eg. How do I get to the double or more result? My math showed that one person would get double or more than the other less than 3% of the time, is that right?
August 17th, 2011 at 3:08:03 AM
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Quote: NewbgamedesignerI got the easy stuff down, like ~58% that I roll a 7 or lower total, it's just the comparing/combining of the 2 %,s that I am messing up.
Eg. How do I get to the double or more result? My math showed that one person would get double or more than the other less than 3% of the time, is that right?
Using the chart I just posted I get 159 out of 1296 or a little over 12%,
“Man Babes” #AxelFabulous
August 17th, 2011 at 3:45:09 AM
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Sweet, thanks miplet
August 17th, 2011 at 8:47:04 AM
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This is what I understand:
Question 1: The player will win if they roll a total hither than the other player.
I calculate 575/1296 = 0.4437.
Question 2: The player will win if they roll a total higher than the other player or if they roll a double.
I calculate 692/1296 wins = 0.554. The player will get doubles on 216/1296 games alone.
Question 1: The player will win if they roll a total hither than the other player.
I calculate 575/1296 = 0.4437.
Question 2: The player will win if they roll a total higher than the other player or if they roll a double.
I calculate 692/1296 wins = 0.554. The player will get doubles on 216/1296 games alone.
I heart Crystal Math.
August 17th, 2011 at 10:19:28 AM
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Question 2 isn't about rolling doubles, but rolling a total twice as much as the other player.
"Then you can admire the real gambler, who has neither eaten, slept, thought nor lived, he has so smarted under the scourge of his martingale, so suffered on the rack of his desire for a coup at trente-et-quarante" - Honore de Balzac, 1829
August 17th, 2011 at 10:36:11 AM
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Quote: thecesspitQuestion 2 isn't about rolling doubles, but rolling a total twice as much as the other player.
Ah ha. I knew I was missing something, and I know that Miplet knows what he's doing.
I heart Crystal Math.
