- 3 Dice Games
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- 3's Are Free Dice Game
3Dice Casino Overview. For simple online gaming, 3Dice is the place to play. It uses a sole software, Angle Gaming Labs, to power its games, which consists of a collection that amounts to just over 80 games. Both Slots, and Table Games. The game uses three dice and a table with a variety of betting options. The dice are shaken on a plate covered with a bowl. Once the dice have come to rest, the bowl is lifted to reveal the values of the dice. 3 Dice Casino carries a number of games, some of which are going to appeal to you and others won’t. Their games are designed in-house, so you won’t have heard of most of them. Such gaming genres.
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Three-Dice Game was invented by Whitney Abbott andTeddy Lee, Cate School Class of 1990.
In this game, a player pays $3 for the opportunityto roll three dice. The player wins $5 if exactly one die shows 3,$10 if exactly two of the dice show 3, and $100 if all three diceshow 3.
3 Dice Games
Here are probabilities related to this Three-DiceGame:
Probability (no 3's) | (3C0)(1/6)0(5/6)3 = 125/216 = .5787 |
Probability (exactly one 3) | (3C1)(1/6)1(5/6)2 = 75/216 = .3472 |
Probability (exactly two 3's) | (3C2)(1/6)2(5/6)1 = 15/216 = .0694 |
Probability (three 3's) | (3C3)(1/6)3(5/6)0 = 1/216 = .0046 |
For the payouts established by Whitney and Teddy,the expected payout, g, for a player is
E(g) = ($0)(.5787) + ($5)(.3472) +($10)(.0694) + ($100)(.0046) = $2.89
Since the player has paid $3 to play, the casinoexpects to gain $0.11 for each game played. For each dollar'invested' in Three-Dice Game, the casino expects to earn $0.11/3 =$.0367.
Dice Game With Three Dice
If the payouts for 0,1,2,3 three's are,respectively, p0, p1, p2, and p3, then the expected payout, g, for a player is
E(g) = (p0 )(.5787) +(p1)(.3472)+ (p2)(.0694) + (p3 )(.0046)
Here is a table demonstrating a fewarbitrarily-chosen game costs, payouts, and expected player gain forThree-Dice Game.
Cost to play | Expected payout = E(g) | Expected gain for player | Expected gain per $1 spent. | Who comes out ahead in the long run? | ||||
$3 | $0 | $5 | $10 | $100 | $2.89 | -$0.11 | -$.0367 | |
$5 | $0 | $0 | $100 | $500 | $9.24 | $4.24 | $0.848 | |
$6 | $0 | $6 | $12 | $500 | $5.22 | -$0.78 | -$0.130 | |
$0 | $10 | $20 | $1000 | $9.46 | -$0.54 | -$.0540 |
Three-Dice Game can easily be played in theclassroom if dice are available. The game can also be simulated onthe TI-83. Simply enter randInt(1,6,3)on the home screen and hit the ENTER keyto see the simulated results of rolling three dice. A repeatedpressing of ENTER will allow you to roll the three dice multipletimes.
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Also known as Four-Five-Six, Cee-Lo and See-Low. This is derived from a Chinese banking game called Strung Flowers. As the name suggests, it is played with three dice, and also requires stakes.
Play:
Players place their bets against a banker who covers them.
Dice Games Using 3 Dice
The banker rolls the three dice first.
The banker wins all bets if he throws three-of-a-kind, any pair and a 6, or 4-5-6.
The banker loses all bets if he throws any pair and a 1, or 1-2-3.
If the banker throws a pair and any number other than a 1 or 6, then each of the players in turn throws the three dice. As before, the player wins if they throw any pair and a 1, or 1-2-3. The player loses if they throw three-of-a-kind, any pair and a 6, or 4-5-6. If a player throws a pair and any number other than a 1 or 6, then the number thrown with the pair becomes the point number. If the player's point number is higher than the point number thrown by the banker, the player wins, even if the pair is of a lower value than the banker's. If both point numbers are the same, then it is tied and no one wins or loses any stakes.
All other combinations, other than the ones described, are meaningless and both the player and the banker, in their turn, continues to roll the dice until a meaningful combination comes up.
Variations:
3 Dice Game Casino Video Poker
Strung Flowers (In Chinese: Sz'ng Luk) is played as described above but with the following differences.
The first banker is decided by a preliminary round in which all the players roll the dice, the player with the most fours becoming the bank. If players tie, then they throw again until a decision is made.
Stakes must be made in multiples of three units. This is because players who have thrown a point settle the bet according to the difference between their point and the bankers. For a point difference of one, one third of the stake is won or lost. For a difference of two, two thirds, and for a difference of three the whole stake.
3's Are Free Dice Game
The banker changes when a player beats their point. The bank rotates (clockwise) at the end of the round.
In a game of Strung Flowers the following terms are used. A throw of 4-5-6 is known as Strung Flowers, 1-2-3 as The Dancing Dragon, and a pair and a 1 as Ace Negative.