Ace-High Poker Dice

 ♠  ♥  Ace-High Poker Dice  ♦  ♣ play the house
 house: 0 you: 0

start over  |  dice color:    |  settings

How-to

Five dice, three rolls.
You may re-roll any number of dice.  Move keepers to the bottom; you can move them back up.
Use the numbers to make standard poker hands (except for flushes because there are no suits).
Ones are high, like aces, except in a straight (see below).
No, you don’t need special dice.

First, click play the house to let the house play.
Then click roll the dice and try to beat it.
First to win 21 hands wins the match.
To play by yourself, click start over if necessary, then just roll the dice.

Hands in order of rank:

 five of a kind “five aces” four of a kind “four threes” full house “twos over sixes” straight “straight, five high” three of a kind “three fours” two pair “aces and fives” one pair “pair of twos” high card “bust”

The rest of the dice (“kickers”) are used to break ties.

 A 2 3 4 5 6
 five high six high ace high
 relative odds five of a kind: 6 four of a kind: 150 full house: 300 straight: 360 three of a kind: 1200 two pair: 1800 one pair: 3600 bust: 360
 after three rolls five of a kind: 254 four of a kind: 1156 full house: 2522 straight: 378 three of a kind: 1283 two pair: 1850 one pair: 332 bust: 1
 after three rolls, house strategy five of a kind: 326 four of a kind: 1550 full house: 1737 straight: 377 three of a kind: 1792 two pair: 1522 one pair: 471 bust: 1

Straights are a special case.  Using novelty dice with 9-10-J-Q-K-A card ranks printed on them, only two kinds of straight are possible, king or ace high; there is no ace-low straight.  The equivalent with regular dice is to allow only straights with five or six high.  Under these conditions, a straight is actually less likely than a full house and should beat it.  But allowing ones to be either high or low like aces, a straight can have five, six, or ace high.  Now a straight is more likely than a full house, just like using cards (so why not, you ask?).  Some people dodge the issue and count straights as busts.  Take your pick:

Player advantage, using:  no strategy, 8.4%; house strategy, 11.5%

Strategy

The basic strategy is to keep duplicates (pairs, triples, etc.) or a straight, and re-roll the rest.  It is never an advantage to keep four dice and go for a straight (but you are welcome to, says the house).

• The player has an inherent advantage of about 8.4% over the house due to being able to re-roll unwinnable or lost hands (such as two pair vs. four of a kind) and stopping with a winning hand (no re-rolling kickers).

• An advantageous house strategy is to re-roll the lower of two pair, or the pair of a full house, after the first roll only.  The player, of course, may imitate this strategy.

• Another small advantage to the house is for the house to win ties.

• A further advantage is for the house to keep the dice concealed, only revealing them when saving dice between rolls.  The house will always end up with at least one hole die, greatly reducing the player’s inherent advantage.

• (A more advantageous player strategy takes the house’s hand into consideration, and can increase the player’s advantage by at least 1 - 2%.)

You may choose a rule set above to vary the challenge.

The odds of ending up with each hand are given to the right.  Note that using dice, busts are inherently as likely as a straight.

All odds were determined by simulations of 100,000,000 hands, allowing ace-high straight.  The other straight rules vary the odds by up to about 0.5%.

If it was good enough for Edward G. Robinson, it’s good enough for me.
“It’s a dollar if you lose, and if you win, you get \$2 worth of merchandise.”