pr.probability – How to Calculate 5 to 11-Card Poker Straights When Dealt 11 Cards from 8-Deck Shoe


I’m looking for how to calculate the odds of a 5-card straight poker hand formed from 11 cards dealt from an 8-deck shoe, and then the odds for a 6-card straight out of those 11 cards, and then the same for 7, 8, 9, 10, and 11-card straights, all formed from 11-cards randomly dealt from a shuffled 8-deck shoe of 52-card poker decks (no jokers).

I understand how to calculate the odds of a straight formed from 5 cards dealt from a single 52-card deck. There are plenty of resources for calculating poker hand probabilities dealt from a single-deck shoe (i.e., a single deck of 52 cards), but I cannot for the life of me find any resources online regarding poker probability math from a multi-deck shoe, whether that’s 2 decks, 4 decks, 8 decks as in my case, etc.

This problem also has the compounding factor that it’s not just five card stud, but 11 cards dealt.

This seems a relatively trivial problem, but I’m afraid I’m going to mess up my calculations without realizing my error. I’d love any assistance, thanks!