2 Aces Blackjack
Welcome back to our Deep Dive series on building the casino game Blackjack in C# and Blazor WebAssembly! In this second part, we're going to use the modeling ideas we wrote down in the previous post to build a complete C# model for a Blackjack game. In Poker: amazing hand! In Blackjack: also an amazing hand! Two Aces Blackjack of your second deposit up to £250, 50% Two Aces Blackjack of your third deposit up to £150 Bonus funds are separate to Cash funds, and are subject to 35 x wagering the Two Aces Blackjack total of bonus, cash & bonus spins. The probability that the second card is a 10 point card is 16/51. So the probability of an ace first blackjack is (4/52). (16/51). Multiply this by 2 because the ten could just as easily be the first card and the answer is 2. (4/52). (16/51) = 128/2652 = 0.0482655, or about 1 in 20.7. Sep 18, 2019 Aces may be counted as 1 or 11 points, 2 to 9 according to pip value, and tens and face cards count as ten points. The value of a hand is the sum of the point values of the individual cards. Except, a 'blackjack' is the highest hand, consisting of an ace and any 10-point card, and it outranks all other 21-point hands.
As the dealer, the basic rules of blackjack still apply. Cards 2 through 10 are worth their face value. The jack, queen and king are worth 10 points each. The ace has a value of either 1 point or 11 points, depending on its usage in your hand.
- Appendices
- Miscellaneous
- External Links
Introduction
Lucky Aces is a blackjack side bet I noticed on an electronic blackjack game on October 13, 2016 at the Mirage. It based based on the number of aces between the player's and dealer's first two cards.2 Aces In Blackjack
Rules
- Eight decks of cards are used.
- The Lucky Aces pays based on the four cards comprising the player's and dealer's initial two cards. The pay table is shown below. All wins are on a 'to one' basis, meaning the original bet is returned on a win.
Lucky Aces Pay Table
2 Aces Blackjack Rules
Event | Pays |
---|---|
Four aces | 500 |
Three suited aces | 250 |
Three aces | 30 |
Two suited aces | 12 |
Two aces | 5 |
One ace of diamonds | 2 |
One ace | 1 |
Analysis
The following table shows the probability and contribution to the return of all possible outcomes. The lower right cell shows a house edge of 14.90%.
Lucky Aces Pay Table
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Four aces | 500 | 35,960 | 0.000029 | 0.014619 |
Three suited aces | 250 | 86,016 | 0.000070 | 0.017484 |
Three aces | 30 | 1,818,624 | 0.001479 | 0.044359 |
Two suited aces | 12 | 8,236,032 | 0.006696 | 0.080356 |
Two aces | 5 | 28,237,824 | 0.022959 | 0.114794 |
One ace of diamonds | 2 | 74,908,672 | 0.060905 | 0.121810 |
One ace | 1 | 224,726,016 | 0.182714 | 0.182714 |
No aces | -1 | 891,881,376 | 0.725148 | -0.725148 |
Total | 1,229,930,520 | 1.000000 | -0.149012 |
The next table shows the house edge for 4, 5, 6, and 8 decks.
House Edge by Number of Decks
Written by: Michael Shackleford