Poker Dice Probability Full House
The fundamental of poker is the more difficult to get a hand (least probability) the higher priority it has for a win. In standard poker it goes Royal Flush, Straight Flush, 4 of a Kind, Full House, Flush, Straight, 3 of a Kind, and so on. And each is increasingly unlikely (less probable). The rules of poker dice go 5 of a Kind, 4 of a Kind, Full House, Straight, 3 of a Kind, onwards. However a Full House is more likely (3.86%) than a Straight (3.09%).
The Fiendish Dr. Samsara
The elegant assassin
Alright, every time I ask a dice probability question, I'm stunned at how quickly and thoroughly folks here can answer these questions. So, I now challenge the math boffins with what I think is a hard one.
You have 5 poker dice, which go from 9-A (functionally the same as 1-6). The game relies on making (sorta) poker hands, with better hands beating worse hand in the following order:
1. High Card
2. Pair
3. Two Pair
4. Three of a Kind
5. Low Straight (4 dice in a row)
6. Full House
7. High Straight (5 dice in a row)
8. Four of a Kind
9. Five of a Kind
What are the odds of making each of these hands?
But that isn't the really hard question. The higher the character's skill level, the more rerolls he can make (like Draw Poker). A PC with 'Shooting 1', can reroll 1 die; one with 'Shooting 2' can reroll 2, and so forth up to 5, which can reroll all.
What are the odds of getting making each of these hands with skill levels going from 1-5?
That is your mission, should you choose to accept it.
You have 5 poker dice, which go from 9-A (functionally the same as 1-6). The game relies on making (sorta) poker hands, with better hands beating worse hand in the following order:
1. High Card
2. Pair
3. Two Pair
4. Three of a Kind
5. Low Straight (4 dice in a row)
6. Full House
7. High Straight (5 dice in a row)
8. Four of a Kind
9. Five of a Kind
What are the odds of making each of these hands?
But that isn't the really hard question. The higher the character's skill level, the more rerolls he can make (like Draw Poker). A PC with 'Shooting 1', can reroll 1 die; one with 'Shooting 2' can reroll 2, and so forth up to 5, which can reroll all.
What are the odds of getting making each of these hands with skill levels going from 1-5?
That is your mission, should you choose to accept it.
The Fiendish Dr. Samsara
The elegant assassin
Poker Dice Probability Full House Rules
Alright, every time I ask a dice probability question, I'm stunned at how quickly and thoroughly folks here can answer these questions. So, I now challenge the math boffins with what I think is a hard one.
You have 5 poker dice, which go from 9-A (functionally the same as 1-6). The game relies on making (sorta) poker hands, with better hands beating worse hand in the following order:
1. High Card
2. Pair
3. Two Pair
4. Three of a Kind
5. Low Straight (4 dice in a row)
6. Full House
7. High Straight (5 dice in a row)
8. Four of a Kind
9. Five of a Kind
What are the odds of making each of these hands?
But that isn't the really hard question. The higher the character's skill level, the more rerolls he can make (like Draw Poker). A PC with 'Shooting 1', can reroll 1 die; one with 'Shooting 2' can reroll 2, and so forth up to 5, which can reroll all.
What are the odds of getting making each of these hands with skill levels going from 1-5?
That is your mission, should you choose to accept it.
You have 5 poker dice, which go from 9-A (functionally the same as 1-6). The game relies on making (sorta) poker hands, with better hands beating worse hand in the following order:
1. High Card
2. Pair
3. Two Pair
4. Three of a Kind
5. Low Straight (4 dice in a row)
6. Full House
7. High Straight (5 dice in a row)
8. Four of a Kind
9. Five of a Kind
What are the odds of making each of these hands?
But that isn't the really hard question. The higher the character's skill level, the more rerolls he can make (like Draw Poker). A PC with 'Shooting 1', can reroll 1 die; one with 'Shooting 2' can reroll 2, and so forth up to 5, which can reroll all.
What are the odds of getting making each of these hands with skill levels going from 1-5?
That is your mission, should you choose to accept it.