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All Aces

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All Aces is a popular variation of Super Aces Bonus Poker available at online casinos which use Microgaming software. The payout for Four Aces (when betting five coins per hand) is worth half as much as a Royal Flush. It is a high-variance game but the paytable returns 99.9195% with perfect play. The cycle for Four Aces is about 4,211 hands and the cycle for a Royal Flush is "only" 39,112 hands due to the strategy. Keeping a single Ace is better than keeping two unsuited high cards; keeping a pair of Aces is better than keeping Two Pair; and keeping Three Aces, 2s, 3s, or 4s is better than keeping a pat Full House.

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Don't forget that you can type in your own paytable below.

Hand Coins Paid
Royal Flush
Straight Flush
Four Aces
Four 2,3,4
Four 5-K
Full House
Flush
Straight
Three of a Kind
Two Pair
Jacks or Better

Deck Simplification


Unique Rank Patterns


Core Hand Type Formula Result
Four of a Kind Combin(13, 1) * Combin(12, 1) 156
Full House Combin(13, 1) * Combin(12, 1) 156
Three of a Kind Combin(13, 1) * Combin(12, 2) 858
Two Pair Combin(13, 2) * Combin(11, 1) 858
One Pair Combin(13, 1) * Combin(12, 3) 2,860
No Pair Combin(13, 5) 1,287

Unique Suit Patterns


Four of a Kind Full House Three of a Kind Two Pair One Pair No Pair
Pattern Count Pattern Count Pattern Count Pattern Count Pattern Count Pattern Count
ABCDA 4 ABCAB 12 ABCAA 12 ABABA 12 ABAAA 12 AAAAA 4
ABCAD 12 ABCAB 24 ABABC 12 ABAAB 12 AAAAB 12
ABCAD 12 ABACA 24 ABAAC 24 AAABA 12
ABCDA 12 ABACB 24 ABABA 12 AAABB 12
ABCDD 4 ABACC 24 ABABB 12 AAABC 24
ABACD 24 ABABC 24 AABAA 12
ABCDA 12 ABACA 24 AABAB 12
ABCDC 12 ABACB 24 AABAC 24
ABACC 24 AABBA 12
ABACD 24 AABBB 12
ABCAA 24 AABBC 24
ABCAB 24 AABCA 24
ABCAC 24 AABCB 24
ABCAD 24 AABCC 24
ABCCA 24 AABCD 24
ABCCC 12 ABAAA 12
ABCCD 12 ABAAB 12
ABCDA 24 ABAAC 24
ABCDC 12 ABABA 12
ABCDD 12 ABABB 12
ABABC 24
ABACA 24
ABACB 24
ABACC 24
ABACD 24
ABBAA 12
ABBAB 12
ABBAC 24
ABBBA 12
ABBBB 12
ABBBC 24
ABBCA 24
ABBCB 24
ABBCC 24
ABBCD 24
ABCAA 24
ABCAB 24
ABCAC 24
ABCAD 24
ABCBA 24
ABCBB 24
ABCBC 24
ABCBD 24
ABCCA 24
ABCCB 24
ABCCC 24
ABCCD 24
ABCDA 24
ABCDB 24
ABCDC 24
ABCDD 24

Total Unique Patterns


Core Hand Type Rank Patterns Suit Patterns Total
Four of a Kind 156 1 156
Full House 156 2 312
Three of a Kind 858 5 4,290
Two Pair 858 8 6,864
One Pair 2,860 20 57,200
No Pair 1,287 51 65,637
Total 134,459
Reduction in processing time 94.8264%

Hand Scoring Code


int GetHandType(int C1, int C2, int C3, int C4, int C5)
{
    int Hand = 0;

    int R1 = Rank[C1],
        R2 = Rank[C2],
        R3 = Rank[C3],
        R4 = Rank[C4],
        R5 = Rank[C5];

    int S1 = Suit[C1],
        S2 = Suit[C2],
        S3 = Suit[C3],
        S4 = Suit[C4],
        S5 = Suit[C5];

    bool Flush =

        (S1 == S2) &&
        (S2 == S3) &&
        (S3 == S4) &&
        (S4 == S5);

    if (R1 > R2) { R1 ^= R2; R2 ^= R1; R1 ^= R2; }
    if (R1 > R3) { R1 ^= R3; R3 ^= R1; R1 ^= R3; }
    if (R1 > R4) { R1 ^= R4; R4 ^= R1; R1 ^= R4; }
    if (R1 > R5) { R1 ^= R5; R5 ^= R1; R1 ^= R5; }
    if (R2 > R3) { R2 ^= R3; R3 ^= R2; R2 ^= R3; }
    if (R2 > R4) { R2 ^= R4; R4 ^= R2; R2 ^= R4; }
    if (R2 > R5) { R2 ^= R5; R5 ^= R2; R2 ^= R5; }
    if (R3 > R4) { R3 ^= R4; R4 ^= R3; R3 ^= R4; }
    if (R3 > R5) { R3 ^= R5; R5 ^= R3; R3 ^= R5; }
    if (R4 > R5) { R4 ^= R5; R5 ^= R4; R4 ^= R5; }

    if (Flush)
    {

        if (R1 == 8)
        {
            Hand = 11;           // Royal Flush
        }

        else if ((R1 == (R2 - 1)) && 
                 (R2 == (R3 - 1)) && 
                 (R3 == (R4 - 1)) && 
                ((R4 == (R5 - 1)) || ((R1 == 0) && (R5 == 12))))
        {
            Hand = 10;           // Straight Flush
        }

        else
        {
            Hand = 5;           // Flush
        }
    }

    else
    {
        if ((R2 == R3) && (R3 == R4) && ((R1 == R2) || (R4 == R5)))
        {
            if (R3 == 12)
            {
                Hand = 9;       // Four Aces
            }

            else if (R3 <= 2)
            {
                Hand = 8;       // Four 2,3,4
            }

            else
            {
                Hand = 7;       // Four of a Kind
            }
        }

        else if ((R1 == R2) && (R4 == R5) && ((R2 == R3) || (R3 == R4)))
        {
            Hand = 6;           // Full House
        }

        else if ((R1 == (R2 - 1)) && 
                 (R2 == (R3 - 1)) && 
                 (R3 == (R4 - 1)) && 
                ((R4 == (R5 - 1)) || ((R1 == 0) && (R5 == 12))))
        {
            Hand = 4;           // Straight
        }

        else if (((R1 == R2) && (R2 == R3)) || 
                 ((R2 == R3) && (R3 == R4)) || 
                 ((R3 == R4) && (R4 == R5)))
        {
            Hand = 3;           // Three of a Kind
        }

        else if (((R1 == R2) && (R3 == R4)) || 
                 ((R1 == R2) && (R4 == R5)) || 
                 ((R2 == R3) && (R4 == R5)))
        {
            Hand = 2;           // Two Pair
        }
        else if (((R1 == R2) && (R1 >= 9)) || 
                 ((R2 == R3) && (R2 >= 9)) || 
                 ((R3 == R4) && (R3 >= 9)) || 
                 ((R4 == R5) && (R4 >= 9)))
        {
            Hand = 1;           // Jacks or Better
        }
    }

    return Hand;
}


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