In the event of an even and alternate division of game hands, the non-game winners at the end of twelve hands would have lost three rubbers and won none, as compared with an even score had they availed themselves of their opportunities.
It is, therefore, easily seen that the closer the investigation, the more apparent becomes the absurdity of the doctrine that it is advantageous to sacrifice a game for a score of 100.
2. WHEN THE ONLY OFFENSIVE DECLARATION HAS BEEN MADE BY THE DEALER
In this case the Fourth Hand, before making a declaration in any manner doubtful, should remember that his partner has, by failing to declare, announced that he has not sufficient strength to overbid the Dealer. This does not, however, signify that he has a trickless hand, and the Fourth Hand may even yet count upon him for some support. There are two features—both of importance—one weighing in favor, the other against, a declaration under these circumstances. One is, that the strength being over the Fourth Hand, he is placed in the worst possible position in the play, and there is more probability of his being doubled than under any other conditions. If he be doubled, it is not likely that his partner can take him out or prove of material assistance, as the double is apt to come in the case in which the partner has passed with a practically trickless hand.
On the other hand, the lead is with the partner, and especially when a No-trump has been declared, it may be of great advantage to indicate the suit which should be led. The Fourth Hand should, therefore, if possible avoid placing a large bonus in the adversaries' column, yet he should not hesitate to take a chance when his hand indicates that the lead of a certain suit will be likely to save game.
In the event of a Dealer's declaration which is not apt to produce game coming up to the Fourth Hand, he should pass, unless his holding convince him that he will be able to go game should he declare.
3. WHEN THE ONLY OFFENSIVE DECLARATION HAS BEEN MADE BY THE SECOND HAND
In this situation the Fourth Hand is in much the same position as the Third Hand when the Dealer has made an offensive declaration, and the Second Hand passed.[[12] ] The only difference is that the Fourth Hand knows that both of the adversaries are apparently weak, whereas in the previous case the Third Hand had that information as to only one. The Fourth Hand can, therefore, act much more freely, and should, if in any way possible, increase a declaration which is not apt to result in game to one of the three game-producing bids. At a love score, a Club or Diamond declaration should be allowed to stand in two cases only:—
(a) Weakness, which does not make any further declaration reasonable.
(b) A combination of cards which makes it probable the Club or Diamond call will result in game.