ArtK78, on Dec 11 2007, 04:03 PM, said:
Tempo issues aside, if you have an agreement as to which honor you play from QJ, you should get 1/2 of the Qx/Jx situations right all of the time and the other half of them right some of the time. In addition, you should get some of the QJ situations right some of the time.
The bidding and the play may give you an indication as to the likelihood of Qx/Jx or QJ in partner's hand.
That is not right, because you are forgetting restricted choice among declarer's spot cards when partner has QJ. Say you have agreed to play Q from QJ. And say the missing spots are 3 and 2 (if you have KT95)
Partner holds:
QJ: He plays Q, declarer wins A and half the time plays 3 (1/6 overall), half the time plays 2 (1/6).
Q3: He plays Q, declarer wins A and plays 2 (1/3 overall).
Q2: He plays Q, declarer wins A and plays 3 (1/3 overall).
So when partner plays Q and declarer wins and plays 3, that is the 1/6 partner had QJ and declarer chose to exit with the 3, and the 1/3 the time partner had Q2, so it's 2/3 to play partner for Q2. Similarly when partner plays Q and declarer plays 2 it is 2/3 to play partner for Q3.
Of course as you say, when partner plays the J in this scenario you know he has J3 or J2. So as I said the first time (although not quite for the reason I said so), you should never play partner for QJ here.
If you have no agreement of which to play from QJ, then it becomes more complicated but still you should never play partner for QJ.
Please let me know about any questions or interest or bug reports about GIB.
Hearts are trumps.