It cannot be questioned that the partner having called No-trump, the Third Hand is more likely to hold either five Clubs headed by King, Queen, Knave, or six headed by King, Queen, than five or more headed by Ace, King, Queen. The greater probability that the Dealer will have the Ace than four headed by Knave, Ten, is just as obvious.
Take such a No-trump declaration as
| Spades | Ace, King, Knave |
| Hearts | X, X |
| Diamonds | Ace, King, Knave, X, X |
| Clubs | Ace, X, X |
and the advantage of the proposed system becomes apparent. The game, which is almost sure to be lost by the Heart lead in No-trump, becomes almost a certainty with Clubs Trump. When this plan is used and the Dealer has the other suits stopped but has not the Ace of Clubs, he can easily decide whether to go to two No-trumps, as he can estimate from the length of his Club holding whether he can establish the long Clubs or the adverse Ace will block the suit. When the latter is the case, he should not bid two No-trumps unless his own hand justify it, as the Third Hand has announced the absence of a reëntry.
Take such a No-trump declaration as
| Spades | Ace |
| Hearts | Ace, King, X |
| Diamonds | Ace, King, X, X, X, X |
| Clubs | X, X, X |
and suppose the Third Hand hold one or two small Diamonds; six Clubs, headed by King, Queen, Knave, and no other face card.
In such a case Clubs is the call most likely to produce game.
Another and possibly the wisest theory of the three Club take-out, is that it should be reserved, not for any one particular holding which may not occur once in a year, but for any hand in which the Declarer wishes to say, "Partner, my cards are such that I believe we can go game in Clubs; with this information, use your judgment as to whether or not to return to your more valuable declaration."
A NEW PLAN FOR OVERBIDDING