Rivers Casino Blackjack Side Bets

  
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  1. Blackjack may be played with multiple decks of cards. RULES: Cards are counted at their face value. All face cards count as 10. Aces count as either 1 or 11. A Blackjack is a total of 21 on the original two cards. Blackjack pays 3 to 2 (one and a half times the bet). A Blackjack cannot lose; it will push (tie) if the dealer also has Blackjack.
  2. Bet Rivers currently has several Blackjack options, but the one you want to focus on is the exclusive Multi-Bet Blackjack with optional side bets. The game has an RTP of 99.64%, and is available at four limit levels (from the Micro with a minimum bet of $0.10 and a maximum of $10, to the High Roller which runs from $100 to $1,000.).

With choices like Blackjack, Craps, Spanish 21 and everything in between, it’s no wonder we’re Philadelphia’s gaming destination. Step up the action with exciting side bets or check out our Stadium Gaming. GET IN ON THE GAME As part of the transition to Rivers Casino Philadelphia, all chips and gaming tokens were replaced. Is anyone familiar with the BJ side bets at the Rivers Casino near Chicago? I want to find out the house edge. There's a 21+3 side bet and a Top 3 side bet. If you play the '21+3' side bet you get 9 times your money on any straight, flush, three of a kind or straight flush when it's your first two cards and the dealer's up card. The Rivers land-based casino comes with a minimum bet of $5 on any blackjack table, while the online variation offers a much lower minimum bet to appeal to a broader audience. Some of the most popular blackjack variations that you can find in Pennsylvania include single-deck blackjack and Blackjack Xchange.

Introduction

21 to the River is a blackjack side bet I noticed at the Hard Rock in Las Vegas on March 27, 2008. The rules are as follows.

  1. Player makes a blackjack and poker bet.
  2. The blackjack bet shall be adjudicated according to conventional blackjack rules. In the case of the Hard Rock, these rules were six decks, dealer hits soft 17, double after split allowed, no surrender, and no re-splitting aces.
  3. In the event the blackjack hand busts, a five-card poker hand will be created using the card that busted the player, and the next four cards in the shoe.
  4. The poker hand shall pay according to the return table below.
  5. If the player does not bust, then the poker bet will push.
  6. If the player splits, the first hand, if any, that busts will start the poker hand. If none bust, the poker bet will push.

The first step to analyze this game is to determine the probability that the blackjack hand will bust, and if so, with what card. To answer this, I ran the following simulation. My simulation treats all 10-point cards the same way, so I divided that total between the four 10-point cards.

Blackjack Events

Rivers casino blackjack side bets odds
EventProbability
Player busts with 60.003197
Player busts with 70.006978
Player busts with 80.012119
Player busts with 90.017238
Player busts with 100.023341
Player busts with J0.023341
Player busts with Q0.023341
Player busts with K0.023341
No bust0.867104
Total1.000000

Rivers Casino Blackjack Side Bets Against

The total probability of busting comes to 13.29%. This is higher than other places on my site, which say it is 13.00%. This is because of the splitting rule.

The next table shows the probability of each poker hand, with six decks, according to the first card dealt in the hand.

Six-Deck Poker Probabilities by First CardExpand

Poker HandA up2 up3 up4 up5 up6 up7 up8 up9 up10 upJ upQ upK up
Five of a kind0.0000230.0000230.0000230.0000230.0000230.0000230.0000230.0000230.0000230.0000230.0000230.0000230.000023
Royal flush0.000003000000000.0000030.0000030.0000030.000003
Straight flush0.0000030.0000070.000010.0000140.0000170.0000170.0000170.0000170.0000170.0000140.000010.0000070.000003
Four of a kind0.0016680.0016680.0016680.0016680.0016680.0016680.0016680.0016680.0016680.0016680.0016680.0016680.001668
Full house0.0036530.0036530.0036530.0036530.0036530.0036530.0036530.0036530.0036530.0036530.0036530.0036530.003653
Flush0.0035160.0035160.0035160.0035160.0035160.0035160.0035160.0035160.0035160.0035160.0035160.0035160.003516
Straight0.0017290.0017290.0025930.0034580.0043220.0043220.0043220.0043220.0043220.0043220.0034580.0025930.001729
Three of a kind0.0418260.0418260.0418260.0418260.0418260.0418260.0418260.0418260.0418260.0418260.0418260.0418260.041826
Two pair0.0655580.0655580.0655580.0655580.0655580.0655580.0655580.0655580.0655580.0655580.0655580.0655580.065558
Jacks or better0.250720.0911710.0911710.0911710.0911710.0911710.0911710.0911710.0911710.0911710.250720.250720.25072
All other0.63130.7908490.7899820.7891140.7882460.7882460.7882460.7882460.7882460.7882460.6295650.6304320.6313
Total1111111111111

The next table combines the probability of each bust card, by the poker probabilities starting with that card.

21 to the River — Return Table

Rivers Casino Blackjack Side Bets No Deposit

EventPaysProbabilityReturn
Royal flush50000.000158
Straight flush2500.0000010.000365
Five of a kind1000.0000030.000308
Four of a kind500.0002220.011081
Full house250.0004850.012136
Flush150.0004670.007010
Straight100.0004530.004533
Three of a kind50.0055580.027792
Two pair20.0087120.017425
Jacks or better00.0232880.000000
No bust00.8671040.000000
All other-10.093704-0.093704
Total1.000000-0.012895

The lower right cell shows a house edge of 1.29%, per bet made. The probability of the bet resolving with a win or loss is 10.96%. The house edge, per bet resolved, is thus 1.29%/10.96% = 11.76%.

Buster Blackjack

Rivers Casino Blackjack Side Bets Odds

Rivers

Buster Blackjack is a side bet I noticed at the Sycuan casino, near San Diego, on November 30, 2008. The bet wins if the dealer busts, the more cards it takes, the more the player wins. The following table shows the probabilities and return for a six-deck game, where the dealer hits a soft 17. The lower right cell shows a house edge of 6.21%.

Buster Blackjack — Six Decks, Dealer Hits Soft 17

Rivers Casino Blackjack Side Bets Games

EventPaysProbabilityReturn
Bust with 8+ cards2500.0000120.002986
Bust with 7 cards500.0002140.010722
Bust with 6 cards120.0026380.031651
Bust with 5 cards40.0204730.08189
Bust with 4 cards20.0893920.178784
Bust with 3 cards20.1730320.346064
Dealer doesn't bust-10.714241-0.714241
Total1.000000-0.062143

The next table shows the return, according to the number of decks, and whether the dealer hits or stands on a soft 17.

Buster Blackjack — Expected Return

DecksStand Soft 17Hit Soft 17
1-0.087690-0.068890
2-0.084766-0.065097
4-0.083066-0.062915
5-0.082707-0.062455
6-0.082462-0.062143
8-0.082153-0.061749

As long as I went to the trouble to analyze this bet, the next table shows a finer breakdown of the possible dealer outcomes in a six-deck game, and the dealer hits a soft 17.

Possible Dealer Outcomes — Six Decks, Dealer Hits Soft 17

EventProbability
Total of 170.133459
Total of 180.141205
Total of 190.135682
Total of 200.181531
Total of 210.0748744
Blackjack0.0474895
Bust with 3 cards0.173032
Bust with 4 cards0.0893918
Bust with 5 cards0.0204726
Bust with 6 cards0.0026376
Bust with 7 cards0.000214444
Bust with 8 cards0.000011528
Bust with 9 cards0.00000040805
Bust with 10 cards0.00000000909509
Bust with 11 cards0.00000000011986
Bust with 12 cards0.000000000000824386
Bust with 13 cards0.00000000000000222834

Written by: Michael Shackleford