In case anybody's interested: In Double Down Stud (DDS) there are 52C4 = 720725 different starting 4 card hands (order doesn't count) as Alan noted. Here is the number of starting 4 card hands of various categories (mathematical calculations not shown to save Cardfathers eyes) N(4 card open ended straights or 4 card flushes) = 5152. N(Pair (6's or higher)) = 57024. N(Two Pair) = 2808. N(3 of a kind) = 2496. N(4 of a kind) = 13. N(4 card hands to double in "Queens" DDS) = 67493. Probability(Doubling Down) = 0.2493. The expected action per hand = 1.2493 original bets. In "Jacks" DDS you could also double AKQJ (not suited). This adds an additional 252 hands to double. N(4 card hands to double on "Jacks" DDS) = 67745. Probability(Doubling Down) = 0.2502. The expected action per hand = 1.2502 original bets.
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Posted by: nordo123@aol.com
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