Gambling Game Faro
Faro was the most popular game found in old west gambling establishments. It involved one person being the dealer which they would call a banker and several players that were called punters. It typically took 10 to 15 minutes to play and it was a fast game that gave you better odds than most other games at the time. Faro is a gambling card game that was a derivation of a card game called Basset. Faro originated in France in the late 17th century. First known as Pharaon, it became extremely popular in Europe in the 18th century. With its name shortened to Pharo or Faro, it soon spread to America and became the favored game during the California Gold Rush. Faro is one of the oldest gambling games played with cards. References to the game are found in France during the reign of Louis XIV (late 1600s early 1700s). It was a favourite of highborn gamblers throughout Europe well into the 19th century. Faro was introduced to the United States in the mid 1800s.
Faro was the most popular game found in old west gambling establishments. It involved one person being the dealer which they would call a banker and several players that were called punters. Ittypically took 10 to 15 minutes to play and it was a fast game that gave you better odds than most other games at the time.
Dealer cheating was a common problem in this game, dealers would cheat in various ways such as rigging the deck or altering the dealing box they use to draw the cards.
Faro would be played by lying a board down that had one suit of cards attached to it in numerical order; you could stake your bets on one or several cards at a time.
Faro Board For Sale
Then the dealer would draw out two cards from the dealing box. One of the cards was a dealer’s card which was the losing card and the other was the player’s card which was the winning card.Winning didn’t count on suit, only the numerical value of the card.
Any bets that were placed on card numbers that weren’t drawn would be left there for the next round. Bets placed on cards with the numerical value of the dealers went to him. Bets placed on thenumerical value of the players got paid 1 to 1.
Faro was popular because it was a short game that was fast paced and easy to learn.
On This Page
Introduction
Faro, a simple game of luck using a single deck of cards, is said to have originated in France in the 17th century. It spread to England and then the United States via New Orleans. The game was likely the most popular game of chance in 19th century America, but its popularity gradually faded through the 20th century. It is believed the last casino to offer the game was the Reno Ramada in the 1980s. Personally, I've seen faro tables in museums and old paintings several times.
Rules
- After shuffling, the top card in the deck, known as the 'Soda,' is exposed.
- Following are the bets available that I am aware of.
- Flat: Player may bet on any of the 13 ranks in the deck.
- Split: Like a Flat bet, but on two ranks.
- High Card: Player may bet whether the Winning or Losing card will be higher.
- Odd/Even: Player may bet whether the Winning card is odd or even.
- Turn: Betting on the order of the last three cards in the deck.
- After wagers are placed, the dealer deals a card, known as the 'Losing Card.'
- The following card is known as the 'Winning Card.'
- Wagers are resolved, according to the specific rules for each bet (described below).
- The dealer marks off on an abacus-like device the cards that were played.
- Play continues from the deck until there is only one card, known as the 'Hock,' remaining.
Following is a list of the specific bets, including the rules and odds.
Flat Bets
There are 13 Flat bets (sometimes known as 'Denomination bets') available, one for each rank. Here are the specific rules:
- If the Winning card and Losing card are different in rank, then bets on the rank of the Winning card will win and bets on the rank of the Losing card will lose. Bets on all other ranks will push.
- If the Winning card and Losing card are equal in rank, then bets on that rank will lose half.
- The player has the option to reverse the Winning and Losing cards by putting a penny on his wager. This action is known as a “copper.
The following table shows all the possible outcomes on the Flat bets, assuming a full 52-card deck.
Flat Bets
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Win | 1 | 192 | 0.072398 | 0.072398 |
| Tie | 0 | 2256 | 0.850679 | 0.000000 |
| Lose half | -0.5 | 12 | 0.004525 | -0.002262 |
| Lose all | -1 | 192 | 0.072398 | -0.072398 |
| Total | 2652 | 1.000000 | -0.002262 |
The lower image--rightell reflects a house edge of 0.23%. If we ignore ties, then the expected loss per bet resolved is 1.52%.
Case BetsIn the event the player bets on a rank when there is only one of that card left in the deck, it is known as a 'Case' bet. Absent any other rule changes, there would be zero house advantage, because it would be impossible to lose half, which is where the house gets its edge. In the case of Case bets, the dealer charges a 5% commission on wins.
The odds of the Case bet depend on how many cards are left in the deck. The more cards left, the lower the house advantage. The following table shows the probability of a win, push, and loss, as well as the expected return, according to the number of remaining cards. The image--rightolumn for the expected return shows the house edge ranges from 0.10% with 49 cards left to 1.67% with 3 cards left.
Case Bet
| Cards Remaining | Probability Win | Probability Push | Probability Loss | Expected Return |
|---|---|---|---|---|
| 49 | 0.020408 | 0.959184 | 0.020408 | -0.001020 |
| 47 | 0.021277 | 0.957447 | 0.021277 | -0.001064 |
| 45 | 0.022222 | 0.955556 | 0.022222 | -0.001111 |
| 43 | 0.023256 | 0.953488 | 0.023256 | -0.001163 |
| 41 | 0.024390 | 0.951220 | 0.024390 | -0.001220 |
| 39 | 0.025641 | 0.948718 | 0.025641 | -0.001282 |
| 37 | 0.027027 | 0.945946 | 0.027027 | -0.001351 |
| 35 | 0.028571 | 0.942857 | 0.028571 | -0.001429 |
| 33 | 0.030303 | 0.939394 | 0.030303 | -0.001515 |
| 31 | 0.032258 | 0.935484 | 0.032258 | -0.001613 |
| 29 | 0.034483 | 0.931034 | 0.034483 | -0.001724 |
| 27 | 0.037037 | 0.925926 | 0.037037 | -0.001852 |
| 25 | 0.040000 | 0.920000 | 0.040000 | -0.002000 |
| 23 | 0.043478 | 0.913043 | 0.043478 | -0.002174 |
| 21 | 0.047619 | 0.904762 | 0.047619 | -0.002381 |
| 19 | 0.052632 | 0.894737 | 0.052632 | -0.002632 |
| 17 | 0.058824 | 0.882353 | 0.058824 | -0.002941 |
| 15 | 0.066667 | 0.866667 | 0.066667 | -0.003333 |
| 13 | 0.076923 | 0.846154 | 0.076923 | -0.003846 |
| 11 | 0.090909 | 0.818182 | 0.090909 | -0.004545 |
| 9 | 0.111111 | 0.777778 | 0.111111 | -0.005556 |
| 7 | 0.142857 | 0.714286 | 0.142857 | -0.007143 |
| 5 | 0.200000 | 0.600000 | 0.200000 | -0.010000 |
| 3 | 0.333333 | 0.333333 | 0.333333 | -0.016667 |
Split Bets
I discovered these bets from the Wichita Faro demo. It works like a Flat bet, except the player bets on two ranks, for example King and Queen. Here are the possible events, in this example, and what happens:
- Winning card is King or Queen and Losing card is anything else = Win even money.
- Losing card is King or Queen and Winning card is anything else = Lose all.
- Both cards kings or both cards queens = Lose half.
- Neither card king or queen = Push.
- One card king and one card queen = Push.
The player may also copper Split bets. The following table shows the odds of Split bets. The lower image--rightell shows a house edge of 0.45%. The house edge per bet resolved is 1.65%.
Split Bets
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Win | 1 | 352 | 0.132730 | 0.132730 |
| Tie | 0 | 1924 | 0.725490 | 0.000000 |
| Lose half | -0.5 | 24 | 0.009050 | -0.004525 |
| Lose all | -1 | 352 | 0.132730 | -0.132730 |
| Total | 2652 | 1.000000 | -0.004525 |
High Card
For purposes of the High Card bets, an ace counts as one point, 2 to 10 according to pip value, a jack is 11, queen 12, and king 13 points. The player may bet whether the Winning or Losing card will be higher. Here are the rules for bets that the Winning card is higher.
- Winning card is higher than Losing card = win even money.
- Winning card is lower than Losing card = lose all.
- Winning and Losing cards the same rank = lose half.
The following table shows all the possible outcomes that the Winning card will be higher. The lower image--rightell shows a house edge of 2.94%.
Winning Card Higher Bet
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Win | 1 | 1248 | 0.470588 | 0.470588 |
| Lose half | -0.5 | 156 | 0.058824 | -0.029412 |
| Lose all | -1 | 1248 | 0.470588 | -0.470588 |
| Total | 2652 | 1.000000 | -0.029412 |
Bets on the Losing card are the opposite. In other words, it wins if the Losing card is higher.
Odd Bet
For purposes of the Odd bet, an ace counts as one point, 2 to 10 according to pip value, a jack is 11, queen 12, and king 13 points. Following are the possible outcomes of the Odd bet.
- Winning card odd and Losing card even = win even money.
- Winning card even and Losing card odd = lose all.
- Winning and Losing cards the same rank = lose half.
- Both cards odd or both even, but of different ranks = push.
What Is Faro
The following table shows all the possible outcomes of the Odd bet, for the non-counter.
Faro Card Game Online
Odd bet
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Win | 1 | 672 | 0.253394 | 0.253394 |
| Tie | 0 | 1152 | 0.434389 | 0.000000 |
| Lose half | -0.5 | 156 | 0.058824 | -0.029412 |
| Lose all | -1 | 672 | 0.253394 | -0.253394 |
| Total | 2652 | 1.000000 | -0.029412 |
The lower image--rightell reflects a house edge of 2.94%. If we ignore ties, then the expected loss per bet resolved is 5.20%.
Gambling Game Faro
Even Bet
The Even bet is the opposite of the Odd bet. In other words, it wins if the Winning card is even and the Losing card is odd. The odds are exactly the same as the Odd bet.
Turn
When there are only three cards left, of three different ranks, then the player may bet on the order of them.
There are six possible permutations of three cards, so the odds of winning are one in six. Fair odds would be 5 to 1, but the actual odds pay 4 to 1. The following table shows all the odds of the Turn bet. The bottom image--rightell shows a house edge of 16.7%.
Turn bet
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Win | 4 | 1 | 0.166667 | 0.666667 |
| Lose all | -1 | 5 | 0.833333 | -0.833333 |
| Total | 6 | 1.000000 | -0.166667 |
In the Wichita Faro game, the Turn bet pays 2 to 1 if there is a pair remaining in the last three cards. This would be fair odds, with no house advantage.
Strategy
My advice for Faro is to make only two types of bets: (1) Flat bets on ranks when exactly two cards are left in the deck of a given rank and (2) Case bets. The reason for the Flat bets is the low probability of losing half, where the house gets its edge. However, with just one card left, the rules revert to paying a 5% commission, which may or may not be better, according to the number of cards left in the deck.
Let's call this the 'Wizard's Faro Strategy.' According to this strategy, the odds are better on the Flat bets with 23 or more cards left in the deck. With exactly 21 left, the odds are equal. With 19 or less, the odds are better on the Case bets.
Expected Return of Wizard's Faro Strategy
| Cards Remaining | Flat Bet | Case Bet |
|---|---|---|
| 49 | -0.000425 | -0.001020 |
| 47 | -0.000463 | -0.001064 |
| 45 | -0.000505 | -0.001111 |
| 43 | -0.000554 | -0.001163 |
| 41 | -0.000610 | -0.001220 |
| 39 | -0.000675 | -0.001282 |
| 37 | -0.000751 | -0.001351 |
| 35 | -0.000840 | -0.001429 |
| 33 | -0.000947 | -0.001515 |
| 31 | -0.001075 | -0.001613 |
| 29 | -0.001232 | -0.001724 |
| 27 | -0.001425 | -0.001852 |
| 25 | -0.001667 | -0.002000 |
| 23 | -0.001976 | -0.002174 |
| 21 | -0.002381 | -0.002381 |
| 19 | -0.002924 | -0.002632 |
| 17 | -0.003676 | -0.002941 |
| 15 | -0.004762 | -0.003333 |
| 13 | -0.006410 | -0.003846 |
| 11 | -0.009091 | -0.004545 |
| 9 | -0.013889 | -0.005556 |
| 7 | -0.023810 | -0.007143 |
| 5 | -0.050000 | -0.010000 |
| 3 | -0.166667 | -0.016667 |
Acknowledgement
The Doctrine of Chances by Stuart N. Ethier was enormously helpful to me in the creation of this page. Ethier devotes the 18th chapter (23 pages) entirely to Faro.
Outside Links
- Wikipedia page on Faro.
- Wichita Faro. Free demo.