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Bonus Six is a poker based game card game, popular in the casinos of Black Hawk, Colorado. As in five-card stud the player gets cards gradually and must keep raising to stay in or fold. The twist in this game is that if the player buys insurance initially he has the option to buy a sixth card if he needs one. Following are the specifics.

The Rules

The game is played with a single deck of cards, which is shuffled after every hand.

The player begins by placing an ante bet. The player may also buy insurance at the cost of half the ante bet. The cost of the insurance policy is never returned.

Each player receives two cards face down and one community card dealt face up. All players may use the community card as part of their hand.

After looking at his cards player must decide to either bet or fold. If the player folds he forfeits his ante. If player bets he must add to hisเว็บคาสิโนออนไลน์wager an amount equal to the ante.

All players who raised receive a fourth card.

Again, all players still in must either bet or fold. If the player folds he loses both his ante and previous bet. If player bets he must add to wager an amount equal to the ante.

All player still in receive a fifth card.

If the player initially purchases insurance and does not have a paying hand he has the option to buy a sixth card. The cost of the card is equal to the ante. If the player buys the sixth card he may make the best five-card hand among his six cards. The fee for the sixth card is never returned.

All players still in are paid according to the pay table below.

Pay Table for Bonus Six

Hand    Payoff

Royal flush      1000 to 1

Straight flush   100 to 1

Four of a kind  50 to 1

Full house        20 to 1

Flush    6 to 1

Straight            4 to 1

Three of a kind            3 to 1

Two pair          2 to 1

High pair (6-ace)          1 to 1

Strategy

The player should never buy insurance.

With three cards bet with any of the following hands, otherwise fold. A “high card” is a six or greater.

Any pair, three of a kind

Any 3 to a flush

3 to a straight with at least 2 high cards

Any 3 high cards

With four cards bet with any of the following hands, otherwise fold.

Any pair, two pair, three of a kind

Four to a straight, flush, or straight flush

Any 3 high cards

Note that this strategy does not apply if the player buys insurance, which he shouldn’t do in the first place.

House Edge

The house edge is 10.42%. To be exact it is 5,417,544/51,979,200. The average bet size is 1.93 units which makes the element of risk 5.41%. If the player buys insurance and plays the appropriate insurance strategy the house edge is 23.83%, with an average bet size of 3.71 units, for an element of risk of 6.42%.

Statistics

The following table shows the number ofคาสิโนtimes in each combination 51979200 hands that each event is expected to happen, the probability, and the contribution to the player’s return when the player does not buy insurance.

Statistics Table for Bonus Six – No Insurance

Outcome          Number           Pays     Probability       Return

Nothing            11312304        0.217631         -1 to 1  -0.652894

High pair          9369504          0.180255         1 to 1   0.540765

Two pair          1839240          0.035384         2 to 1   0.212305

Three of a kind            887640            0.017077         3 to 1   0.153691

Straight            140640            0.002706         4 to 1   0.032468

Flush    102160            0.001965         6 to 1   0.035377

Full house        74880  0.001441         20 to 1 0.086435

Four of a kind  12480  0.00024           50 to 1 0.036014

Straight flush   720      0.000014         100 to 1           0.004156

Royal flush      80        0.000002         1000 to 1         0.004617

Fold on 3 cards            27518400        0.529412         -1 to 1  -0.529412

Fold on 4 cards            721152            0.013874         -1 to 1  -0.027748

Total    51979200        1                      -0.104225

The next table shows statistics if the player buys insurance.

Statistics Table for Bonus Six – With Insurance

Outcome          Number           Probability       Pays     Return

Nothing            903692688      0.369908         -1 to 1  -1.109723

High pair          887837964      0.363418         1 to 1   1.090254

Two pair          155762244      0.063758         2 to 1   0.382548

Three of a kind            59688144        0.024432         3 to 1   0.219889

Straight            23771328        0.00973           4 to 1   0.116764

Flush    16178336        0.006622         6 to 1   0.119201

Full house        3519360          0.001441         20 to 1 0.086435

Four of a kind  586560            0.00024           50 to 1 0.036014

Straight flush   87744  0.000036         100 to 1           0.010775

Royal flush      3760    0.000002         1000 to 1         0.004617

Fold on 3 cards            287856576      0.117828         -1 to 1  -0.117828

Fold on 4 cards            104037696      0.042586         -1 to 1  -0.085171

Total    2443022400    1                      0.753773

The cost of insurance is 0.5 units and the cost of extra cards is 0.492059 units, for a total return of -0.238286 units.

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