Module 22: Six-card Omaha. Fifteen combinations, and the thresholds that move again.
Ten questions on what has actually changed. Six are frequencies you should be able to recall, and four are judgements where the four-card answer and the six-card answer differ. Pass mark is seven.
How many two-card combinations does a six-card hand hold?
Answer: Fifteen. Right. Six choose two is fifteen.
How often are you dealt a pair of aces in six-card Omaha?
Answer: About 1 in 16. Right: 6.1% of hands. Often enough that aces are a normal holding rather than an event.
What share of six-card hands are double-suited or better?
Answer: 79.5%. Right: four hands in five. Two flush routes is the baseline, not a feature.
Compared with four-card Omaha, how often does somebody hold the nuts on the flop?
Answer: About 2.3 times as often. Right: about 2.3 times, which is the number every other adjustment comes from.
On a wet two-tone flop, what share of six-card holdings already hold a straight or better?
Board: Jack of spades, 9 of hearts, 8 of spades
Answer: 26.1%. Right: 26.1%, one hand in four already made.
Which single figure does not change at all between four-card and six-card Omaha?
Answer: The price a pot-sized bet asks for. Right: 33%, in every version. All of the pot-limit arithmetic transfers untouched, which is why Modules 3, 6, 9 and 20 need no adjustment at all.
Which of these two four-card hands has fallen further, relative to the field, in the move to six cards?
Answer: King of spades, King of hearts, 8 of spades, 8 of hearts. Right. The double pair loses about eleven points of equity against a random hand of the same size; the rundown loses about one. Pair-based hands are what the extra cards devalue.
You hold a king-high flush on a monotone flop in a six-card game, three-handed. What is the honest description?
Board: Jack of hearts, 7 of hearts, 3 of hearts
Answer: A hand to show down cheaply: over a third of the field already holds a flush. Right. Module 1's price of second best, in a game where second best arrives far more often.
A four-card regular moves to six-card Omaha and keeps bluffing at the same frequency. What happens?
Answer: It loses money: there is almost nothing left to fold out. Right. Over half the field has two pair or better on a wet flop, and a bluff needs a better hand to fold.
What is the single best summary of correct six-card strategy?
Answer: Draw to the nuts, value bet relentlessly, and give up on bluffing. Right, and all three come from the same measurement: the nuts are out 2.3 times as often, so second best is punished 2.3 times as often and folds almost never arrive.
That is the end of the course. What remains is Module 23, which is one paper covering everything, and then the only thing that has ever made anybody a better poker player: playing a great many hands and being honest about the ones you got wrong.