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You're pone at 70 with 5-5-6-7-J-J. What do you
toss if dealer is at 54*? At 60*? Or at 66*? |
hide answers
Dan Barlow:
I toss 6-7 in all three cases. I realize there are
players who base this decision on the expectation that both players
will get average hands for the rest of the game, but unless this
game is to 1000 instead of 121, that's unlikely. Throwing away four
or more points just because dealer might have thrown a pair of
8s makes no sense. He probably tossed a pair of
Qs.
John Chambers:
In the first situation, you are already in average position (70)
and you don't really need the points. However, in order for your
opponent to get into position on this hand, your opponent will need
to get to hole 86. Your opponent will need 34 points between the
hand and crib. I would give the 6-7 to your opponent.
If you get a cut, you can skunk your opponent. If your opponent gets
a cut, it's not likely he'll get that close.
In the second position, I would do the same thing and try to go
for the skunk, or you can chose to play defensively.
In the third situation, I would play it more defensively. Your
opponent is only four holes from average position (70*). I would
discard 6-J (of different suits). First, you need to
break up the crib. Second, remember that odd cards make the crib.
Third, I don't like to discard 7s into the crib
unless I have no choice.
George Rasmussen:
With dealer at hole 54*, I would toss 6-7. Same
with dealer at hole 60*. Hold the dozen (5-5-J-J) as
dealer is well short of Third Street critical position zone (69-73).
With dealer at hole 66*, I would play ultra- defense and discard the
safest combination in this hand. Goodbye 6-J! Keeping
the crib small in score is more important than the size of my hand
with dealer at hole 66*.
Michael Schell:
Bear with me, since I'm going to take you through how I'd tackle
this over the board. I'm +10 at the start of the deal in each of
these scenarios. There's little chance of a skunk, even in the most
favorable case: with dealer at 54*, he's +14 for foiling a skunk
while I'm -16, so I'd pretty much need to cut a 5 cut
to 5-5-J-J. Therefore, unless nothing less than a
skunk helps me (say, in the last game of a qualifying round), I'm
just going to eliminate them entirely from consideration.
Thus, at 70-54* dealer is starting -16, which compared to my +10
tells me that I should just make a normal balanced discard.
6-7 goes into the crib. At 60*, dealer is -10, the same as
my +10, so again it's 6-7 to the crib.
At 66* we're closer to a classic yellow zone decision,
albeit on on Third Street, rather than Fourth Street. In such a
situation, the four-to-one rule is a useful guideline. As you
may recall, this rule
suggests that with me and dealer near a positional hole, if an aggressive keep
improves my average score by four times as many points than it costs me in the crib
and pegging, then it's
worth doing, even in an ostensibly defensive position. Using the
addition method, which adds a point for a double run, but subtract
½ point for breaking up all runs,
I'll give 5-5-J-J a value of 11½
and 5-5-6-7 a value of 9. 5-5-6-J
would normally get penalized down to 5½
for run breakup, but I'll make an arbitrary exception due to the two
5s and leave it at 6 (sorry, but I'm allowed to break
my rules when experience weighs in favor of it). This gives me a
quick estimate that keeping 5-5-6-7 will cost me 2½
points, and 5-5-6-J will cost me 5½
points. In reality the average hands are about 14.30, 12.22 and 9.46
respectively (depending on Nobs likelihood), which isn't off by too
much give that what I'm gauging is relative rather than
absolute value.
The next step is to factor in the points given up in my
opponent's crib. With my discard
averages, 6-7 and J-J both give up
6.4 points, while 7-J gives up 4.7 points. The two
"blocked" 5s will mitigate the risk of any of
these discards, so I'll consider that a wash. Clearly, there's
little to be gained by keeping 5-5-6-7 instead of
5-5-J-J. But 5-5-6-J is a more
compelling option, sacrificing an estimated 5½
points to save 1.7 points in the crib. 5-5-6-J
is a slightly more dangerous pegging hand due to its 3/1
distribution, and that might be worth ¼
point or so, but even 1.4 or 1.5 is more than ¼ of 5½, so I would
still lean toward the defensive 5-5-6-J
keep, even with dealer four holes short. I suspect, based on these
estimates, that the winning percentages are closer than you might
expect either way.
To many it would be blasphemy to
consider keeping 5-5-J-J
in this board position, but I think that traditional concepts of
board position have underestimated the risk of getting stuck in the
yellow zone on Fourth Street, and facing dealer's pegging on the
game's final hand.
Peter Setian:
In all three of the dealer's positions, I would break up the hand
and toss 7-J. Even without help from the cut card, I
will already be in a decent position when dealing the next hand. And
if I play aggressive and get a cut for a 16‒20
point hand, I will still be short of the next "ideal" dealing
position. So there's no reason to take a chance tossing 6-7
(or J-J). Exception: I'll toss 6-7
if I must get a skunk —
such as having nine game points in Grass Roots play with this being
the only game left.
REX:
Tsk tsk, except for Schell, none of the humans have considered
defensive pegging. And even Schell thinks that 5-5-J-J
is only a little safer in the pegging than 5-5-6-J,
whereas I think that it's way safer. Enough so, in fact, to
recover more than half of added crib exposure tossing 6-7
instead of 7-J:
Keep |
Toss |
|
Average hand: |
|
Opponent's crib: |
|
Pegging:
Net (pone/dealer) |
5-5-6-7 |
J-J |
|
12.22 |
|
6.16 |
|
-2.70 |
(1.20/3.89) |
5-5-6-J |
7-J |
|
9.46 |
|
4.21 |
|
-2.28 |
(1.30/3.59) |
5-5-J-J |
6-7 |
|
14.07 |
|
5.75 |
|
-1.52 |
(1.15/2.67) |
As a result, 5-5-J-J is the right keep in all
three scenarios. Note that three deals hence, my winning odds
remain unchanged, but as dealer gets closer to position in four
deals hence, dealer's odds increase and mine decrease:
Keep |
Toss |
|
% in
three deals: |
|
% in four deals: |
|
Projected score after
four deals: |
Loss
|
Win |
|
Loss
|
Win |
|
Me
|
Opponent |
Score: 70-54*: |
127 |
105 |
5-5-6-7 |
J-J |
|
0.5 |
7.9 |
|
6.2 |
64.9 |
|
|
5-5-6-J |
7-J |
|
0.2 |
4.5 |
|
4.0 |
55.0 |
|
5-5-J-J |
6-7 |
|
0.6 |
11.1 |
|
5.5 |
71.4 |
|
Score: 70-60*: |
127 |
111 |
5-5-6-7 |
J-J |
|
2.2 |
7.9 |
|
15.9 |
57.1 |
|
|
5-5-6-J |
7-J |
|
1.1 |
4.5 |
|
11.5 |
50.1 |
|
5-5-J-J |
6-7 |
|
2.2 |
11.1 |
|
13.8 |
64.0 |
|
Score: 70-66*: |
127 |
117 |
5-5-6-7 |
J-J |
|
7.7 |
7.9 |
|
33.2 |
42.7 |
|
|
5-5-6-J |
7-J |
|
4.4 |
4.5 |
|
26.9 |
39.8 |
|
5-5-J-J |
6-7 |
|
7.2 |
11.1 |
|
28.9 |
50.2 |
|
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Panelists
Dan Barlow won the 1980 National Open Cribbage Tournament, and made the 1985 All American Cribbage Team. His cribbage strategy articles appeared in Cribbage World for many years, and can be seen on the
ACC Web site. He also provides strategy tips at
MSN Gaming Zone. He has written seven books on cribbage, two of which have been glowingly reviewed in Games Magazine. All, including his latest book Winning Cribbage Tips, are available at
The Cribbage Bookstore.
John Chambers was one of the original founding members of the ACC. He is a Grand Master, winner of seven major tournaments, and author of
Cribbage: A New Concept, He also directs three annual tournaments: the Ocean State Cribbage Classic, New England Peer Championship and Charity Cribbage Challenge.
George "Ras" Rasmussen is a Life Master - Two Stars, a four-time All-American, the national Grass Roots Division 1 champion in 2009, a former state champion in Virginia,
Montana and Washington, and holds a Gold Award and a President's Award. He also directs the Washington State Championship, held each year in Centralia, WA. His articles on cribbage are available on the
ACC Web site.
Michael Schell is a pioneer of modern cribbage theory, which synthesizes traditional concepts of expert play with new computer-informed insights and analysis. He has published Cribbage Forum since 2000. Schell holds a Bronze Award, is a Washington State Champion (2001), and was one of the principal architects of ACC Internet Cribbage.
Peter Setian has played cribbage for over 20 years, and has been a member of the ACC for about 14 years. During that time, he has won seven major tournaments and earned his Life Master rating. He plays in about eight tournaments per year, including the ACC Tournament of Champions and the annual Grand National. He enjoys participation in Grass Roots Club #72.
HALSCRIB is widely regarded as the world's strongest computer cribbage player. Its opinion was solicited using a special analysis version of the program. Since HALSCRIB only speaks binary, its thoughts have been translated into English by Michael Schell and its creator, Hal Mueller, a retired mathematics professor and eight-time ACC tournament winner. For more information, see the
HALSCRIB home page.
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