You may be interested in some software that I recently discovered. It is called Scansuit and the link is: http://www.scanbridge.net/Fichiers_HTM/tex...sentationAn.htm Due to the limitations imposed in the demonstration version I was unable to input your problem suit as given and had to change the ♥6 to the ♥3 which I don't think changes things too much. The solution for 4 tricks in the suit appears to be low to the ace followed by running the jack if not covered which is apparently a 72.6% chance. I hope that this is of interest.