justifies the closeness of the single deck frequencies
to the four deck ones. A hand like (3,3,3,3,4), with
repetition of a particular denomination, will be much
less probable for a single deck, but (A,2,3,4,5),
with no repetition, occurs more often in the single
deck. Hands with only one repetition, like (2,3,4,4,5)
are almost equally likely in either case and tend
to make up the bulk of the distribution anyway.
When a bonus is paid for (6,7,8) of the same suit
or (7,7, 7), different strategy changes are indicated
depending on how much it is. we can use the infinite
deck expectation table to approximate how big a bonus
is necessary for (6,7,8) of the same suit in order
to induce us to hit the 8 and 6 of hearts against
the dealer's two showing. Suppose B is the bonus paid
automatically if i get the 7 of hearts in our draw.
we must compare our hitting expectation of Hence,
with a 5 to 1 bonus i'd hit, but if it ire only 4
to 1 i'd stand.
Bonuses of fixed value, like a $5 bonus for (A, J)
of spades, are usually only of interest to the minimum
see regular RGP postings such as, "I'm looking
for a small-stakes home game in the Chicago area."
The poster will likely get many responses, usually
private, because home games are usually illegal (at
least technically), and the players have no desire
to advertise their activities to the world. Recognize,
though, that the players you find while searching
advanced poker resources, such as RGP, are likely
to be more highly skilled than the typical random
home game player.