Hi guys, I'm inventing a game loosely based on omaha that uses 4-suited letters instead of cards.

Due to word draws being limited/unpredictable, I chose board structure 2 2 2, words effectively replace pairs, but 4oak letters trump most words, trips are weak but beat 4-letter words, flushes need to be words and straights are effectively the same as in omaha.

Calculating the odds of F,T&R for words is obviously an enourmous task, but flushes!words, trips and 4oak are easy, what I need help with is straights.

Assume it uses a 936-letter deck with even distribution. What would be the odds of hitting a 5-letter straight on 1. F, T, R with pure, 1G, 3withdangler hands assuming: 2 cards are needed OR 3 cards are needed?

Do you think it would be wize to make straights 6-letter instead, given how likely they are to occur with 5? I currently have them ranked above 6-letter words as an estimate.

Hoping a greater wizard than I can save me some time on this.

This is a probability question, not an Omaha question, so you'd get better help in this subforum.

thanks. I know, but I figured other than the maths question, straights and flushes in a 26-card deck on a 6-card boards might be a topic of interest to omaha players anyway.

Letter Distribution (640 letters): A40 B24 C24 D28 E48 F20 G16 H24 I36 J8 K16 L24 M20 N36 O36 P24 Q8 R28 S28 T40 U24 V24 W24 X12 Y20 Z12

9 straight cards above the Q blocker, 9 below the J blocker, 6 inbetween. What effect would you expect this deck and 6 board cards to have on straights?

I can't say I understand the rules of your game completely. if you know some programming you can simulate it in python.

if you hold say DE and want a straight on the flop (3 letters come on the flop so you have a 5 card straight), the chance for that would be:
p(abc) = 40C1*24C1*24C1/638C3 = 5.348*10^-4
p(bcf) = 24C1*24C1*20C1/638C3 = 2.674*10^-4
p(cfg) = 24*20*16/638C3 = 1.783*10^-4
p(fgh) = 1.783*10^-4

total: p = 1.1588*10^-3 = 0.116%
pretty hard to flop a straight with those rules.

I should have specified, you get dealt 4 letters.

Flop 2 letters, Turn 2 letters, River 2 letters.

Ranking (so far) Double word flush, 10 letter word, 4 of a kind (using 1-3 letters from hand, prob by river .03 assuming equal letter distribution), 9 letter word, word flush, 8/7 letter word, letter straight (ZYXWV is high), 6-5 letter word, trips (using up to 3-letters, to give 3-letter hands more value on flop), 4- letter word

Words of same length, trips/4oak and word flushes are distinguishes by the following point system reflecting distribution in language:

A,E,I,O,N,T - score: 1
S,R,D,L,H,C,W - score: 2
M,Y,B,G,P,F,U - score 4
X,Z,Q,J,K,V - score: 10

Words can be made with any combination from hand/board, but letter-straights must use 3 cards from the board and 2 from the hand, and the same applies to word flushes, so it's impossible to have either on the flop, only draws to them, the straight draws are stronger (given you get 4 cards to draw instead of 2), but less likely, and any 7+ letter word trumps it. But if the probability of eiter getting a strong draw on flop, or hitting by river is too low, I'm considering allowing 3 and/or 1 cards from hand to be used, but it really depends what the probabilities say.