Posted 2008-January-31, 02:28
Some math just for the fun of it.
Hearts will be 50,05 4%.
Spades will be 32,23 68%
Spades will be 41,14 28 %
partner will have the T♠ or T9♠ 3/8
partner will have the 9♠ but no T♠ 15/56
so S are friendly when
partner got the T♠ and ♠ are 41 (4 for LHO) 14% X 3/8 =84/1600
partner got the T♠ and and S are 14 (LHO have a stiff J♠) 14% X 3/8 X 1/4 = 21/1600
partner got the 9♠ and S are 41 (4 for LHO) but with J♠ or T♠ stiff in RHO 14%*15/56*1/2= 30/1600
S are friendly 68%+ 135/1600 = slighty over 76% but if we discard time where H are bad we get 73%. 73% is the number when partner doesnt have the JS.
Now if the opps are in 6H 18/20 (90% of the times) & in 6S 1/20 (5%) and not in slam 5%. (i consider their chance of being in 7H to be nul)
So lets see the Imps diff between 7H & 6H
7 make vs 6H= 11 imps * 90% * 73% = 7.2
7 is down vs 6H = -14 imps * 90% * 27% = -3.4
7 make & they are in 6S making = 11 imps * 5% * 73% * 1/2 =0.2
7 make & they are down in 6S = 3 imps * 5% * 73% * 1/2=0.05
here we only make 3 imps profit & not 17 because in 6H we would have won 14 imps anyway
7 goes down & they are in 6S going down = -14 imps * 5%* 27%= -.02
7 make & 6S is going down ! = 3 imps * 5% * 73 *1/2 = 0.05
7H goes down but 6S is making is negligeable
7 makes & they are in game = 2 imps * 5% * 73% = 0.07
7 goes down & they are in game = -22 imps * 5% * 27% = -0.3
here again we only check the imps difference between 6H & 7H. The profit between 7H & 6H is 13 imps -11 imps =2 imps The loss however is between losing 11 imps (7H down 1 vs game) and winning 11 imps 6H making 6 vs game for a total of 22 imps !
After all the calculation being in 7H instead of 6H when you dont have the ♠J seems to yield 3.5 Imps per deal wich is a lot. This is assuming game has 73% of coming home and opps will stay away from slam 1/20 and will play 6S 1/20.
The biggest danger for a grand is when opps might be in game, making the grand instead of a small will wield only 2 extra imps but risking going down instead of making a small slam is a swing of 22 imps, however if you feel the opps are going to stop in game less then 10% then dont worry too much about it and bid the grand. In this case the 73% chance of success is quite higher then the usual 56% threshold so that why its bring 3imps per deal.
From Psych "I mean, Gus and I never see eye-to-eye on work stuff.
For instance, he doesn't like being used as a human shield when we're being shot at.
I happen to think it's a very noble way to meet one's maker, especially for a guy like him.
Bottom line is we never let that difference of opinion interfere with anything."