Axxx
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You open 1♦ and pard bids 1♥. Do you skip spades and bid 1NT to show shape/strength or do you prefer to bid 1♠? By skipping spades you have a very precise rebid available, but you run the risk of playing 1NT when a 44 spade fit was available.
I ran a quick simulation, assuming that:
- opener has a 12-14 rebid 1NT with 2-3 hearts AND
- you have some checkback mechanism that allows you to dig out the spade 44 fit if responder is invitational or better AND
- pard will take you back to hearts when he has 5 and is weakish
In this case, you land in a bad contract whenever:
- responder is 5-10 hcp and 44 majors OR
- responder is 5-10 hcp and is 45 majors and you have a doubleton heart
AND
- our side's hcp is 22 or less. With 23-24 the 1NT usually makes anyway, so no biggie.
The results, using Staveren's simulator for 10 million hands, were:
lost fit, bad contract: 0.0005805 = ~0.06% of the time!!
This is absolutely amazing. I would NEVER expect it to be so low. If this is true, it absolutely vindicates the theory of skipping the 4-card major.
The code for is below. Did I miscoded it??
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generate 10000000 opener1214 = hcp(south)>11 and hcp(south)<15 [space] [space] [space] [space] [space] [space] [space] [space] [space] [space] [space] [space] [space] and shape(south, any 5332 + any 4432 + any 4333) [space] [space] [space] [space] [space] [space] [space] [space] [space] [space] [space] [space] [space] and (spades(south)==4 and hearts(south)<4) lostfit = hcp(north)>4 and hcp(north)<11 [space] [space] [space] [space] [space] [space] and [space] [space] [space] [space] [space] [space] ((hearts(north)==4 and spades(north)==4) or (hearts(north)==5 and spades(north)==4 and hearts(south)==2)) [space] [space] [space] [space] [space] [space] and (hcp(north)+hcp(south)<23) action [space] [space] [space] [space]average "lost fit, bad contract" opener1214 and lostfit
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