A fast sim with the best sim ever
cpp 20091025.dea | dpp | dealer
[space] [space] [space] [space] [space] [space]Low [space] [space] [space]7 [space] [space] [space]8 [space] [space] [space]9 [space] [space] [space]10 [space] [space] High [space] [space] [space] Sum
Reject [space] [space] [space]52 [space] [space]290 [space] 1247 [space] 1891 [space] [space]1000 [space] [space] [space]162 [space] [space] [space]4642
Accept [space] [space] [space] 5 [space] [space] 79 [space] [space]563 [space] 1822 [space] [space]2067 [space] [space] [space]822 [space] [space] [space]5358
Sum [space] [space] [space] [space] 57 [space] [space]369 [space] 1810 [space] 3713 [space] [space]3067 [space] [space] [space]984 [space] [space] 10000
Generated 166176 hands
Produced 10000 hands
Time needed 237.01 sec
10000 boards, South opens 1NT (including some 5422 with guarded doubletons), and South accepts 3
♦ when : 1. has 4+
♥,
or2. Has 3+
♥ and 16+HCP,
or 3. 17HCP.
I think understanding the above table is easy (x-axis = tricks by south in Hearts, Y axis = south accepts/rejects invitation).
Results tell you that (double dummy) :
a- when south accepts, he plays a 53.9% game (more than even money at this vul, maybe I was pessimistic in my previous post, but see below) ;
b- when south rejects he plays 3
♥ making 8 tricks 26% of the time.
c- cost for the rejected 3
♦ bid is (342*-2 + 1247*-4 = -5672 Imps)
d- cost when 4
♥ fails : (2385*-5+84*-3 = -12177 Imps)
e- gain when 4
♥ makes : +6*(3067+984) = 17334
f- average gain of the 3
♦ bid (c+d+e) = -0.05 imps per board.
(Here we compare the 3
♦ bid to the case where south must transfer 2
♦ into 2
♥ and play there).
So 3
♦ is not so costly at first but we didnot take into account the fact that :
- rapid check of single dummy boards on these cases seem to give advantage to declarer (so -0.05imp rather optimistic) ;
- declarer will also get doubled in 4
♥ some of the time ;
- there is another strategy : bid 2
♦ in the hope of hearing 2NT/3
♥ as the original poster suggested.
I won't bug you with another figures, but here's is the result of the second strategy (bid 2
♦, and bid 4
♥ if pard shows 4+
♥) : you gain 0.36 imp per board this time.
Altogether, bidding 2
♦ then 4
♥ facing a 4 carder is probably at least 0.4 imp above the direct 3
♦ strategy.
The morale of this is :
"beware of the hidden cost of trial bids if you can stay low".
Hence I would give 60% of the blame to south (slight overbid), 40% to north (min+ hand, short trumps), and 100% to the pair, not taking full advantage of their system.
(don't know what the standard is on this board, so apologies if this is too long).
Cheers.