Everyone loves a Promotion
                This month we will take a look at how promotion of a long 
                suit can help us pickup extra tricks. 
                But first, let’s review the odds of how cards tend to divide 
                between the opponents in our long suit. The general rule is: an 
                even number of combined cards held by the opponents will usually 
                break unevenly, while an odd number of cards usually tend to 
                break evenly for the opponents.
                Number of Missing Cards    Likely Distribution
      3 (odd number)               2-1
      4 (even number)              3-1
      5 (odd number)               3-2
      6 (even number)              4-2
      7 (odd number)               4-3
                Secondly, let’s give entry management a quick review. 
                Assuming you cannot get to the dummy hand (North) in another 
                suit, how do you play these suits? 
                A K 8 7 2 
                9 4 3 
                We expect a 3-2 split and have a third entry to dummy that 
                will allow us to win 4 tricks most of the time. However, we must 
                be sure to unblock our entry to the dummy by playing the 9 on 
                trick one or two. Otherwise if you first win the Ace and King, 
                the 9 must win the third trick, leaving no entry to the dummy.
                
                A K 9 8 7 6 
                3 2 
                We also anticipate a 3-2 break with our 8 card suit. To win 5 
                tricks, we duck the first trick playing a low dummy card from 
                the dummy, then winning the second and third trick to capture 
                the opponents’ remaining cards. 
                K 8 7 2 
                A 5 4 
                Here we expect a 4-2 split so most of time we will only win 
                two tricks. But if we have no better strategy, we can hope for a 
                3-3 split (36 percent chance) of opponents’ cards. If we get the 
                lucky suit break, we can take 3 tricks. We employ a play similar 
                to the prior hand, ducking the first trick, then playing the Ace 
                and King, hoping to be rewarded winning 3 tricks with the 13th 
                card in the dummy when opponents each hold 3 cards in the suit.
                
                As declarer with five or more trump, a common strategy is to 
                first draw trump and develop extra tricks by cashing our small 
                trump winners. Depending on the lay of the cards, this tactic is 
                often appropriate in long side suits. Promoting a long suit is 
                also a primary tactic when playing a Notrump contract. In fact, 
                promotions are not the exclusive property of the declarer. 
                Particularly in Notrump contracts when an opponent leads their 
                fourth best card or the top of an honor sequence, the defenders 
                are attempting to “win the race” by promoting their suit before 
                declarer gets a chance to establish a suit of their own. As a 
                defender, your partner will also appreciate your thoughtful lead 
                of a card from partner’s bid suit. 
                Earlier we discussed the benefit of first playing the high 
                card from the side of the short suit to avoid blocking it. 
                Otherwise we may find the long suit is stranded without precious 
                entries. Here’s a hand fragment with Spades and Hearts. West led 
                the Spade Jack, apparently an attempt to promote a long suit.
                             S   A 2
             H   K J 10 9 7 2
                 +---+
S  J 10 9 8 7 6  |   |   S  Q 5
H  K 6 5         |   |   H  A 4 3
                 +---+
             S   K 4 3
             H   Q 8
                Declarer should win the trick with the Spade King (keeping 
                Spade Ace for an entry) in hand and switch to the Heart Queen – 
                the high card from the short side, allowing opponents to win 
                their Heart Ace. The opponents cannot profit by continuing 
                Spades; North’s Hearts have been promoted. But what happens if 
                South instead played a low Heart to North’s King? The opponents 
                could now force dummy to win the Spade Ace, but look what 
                happens by playing a Heart to South’s winning Queen.
                           S   2
           H   J 10 9 7 2
           +----+
           |    |
           |    |
           +----+
           S   3
           H   Q
                Oops, those lovely Hearts are stranded – South’s Queen blocks 
                the suit! If the opponents initially ducked their Heart winner, 
                the suit has the same problem. Looking at the big picture, it’s 
                clear to see that South needs two entries to promote the Heart 
                suit, the Spade Ace and the Heart King. Mistakenly cashing the 
                Heart King strands our potential winners – beware of this trap.
                
                As a warm-up, let's try two similar hands, both playing a 3 
                Notrump contract by South:
                              S   K 4
              H   A 10 4
              D   A K 10 8 7 4
              C   10 5
                +---+
   SQ           |   |
                |   |
                +---+
              S   A 5
              H   Q 9 5
              D   6 2
              C   A 9 7 6 4 2
                West leads the Spade Queen, South playing 3 Notrump. Looking 
                at our quick tricks, we have 2 Spades, 1 Heart, 2 Diamonds, and 
                1 Club - 6 tricks from 9 so we need to find 3 more. Promoting 
                the Diamond suit is our best bet. We win the Spade Ace, just in 
                case we might need an extra entry to the dummy since we're 
                promoting the Diamond suit. Opponents will usually hold 3-2 with 
                five outstanding cards, so we play up to our Diamond Ace 
                followed by our Diamond King happy to see opponents both follow 
                with four of their five cards. So we're home free after 
                conceding the last Diamond to make our contract. Here's a hand 
                that looks similar, but the lack of dummy entries requires 
                careful planning.
                              S   6 4
              H   Q 10 4
              D   A K 10 8 7 4
              C   10 5
                +---+
   SQ           |   |
                |   |
                +---+
              S   A K
              H   A 9 5
              D   6 2
              C   A 9 7 6 4 2
                West leads the Spade Queen, South playing 3 Notrump. We've 
                moved the Spade King to South, with our same 6 quick tricks. 
                Again the Diamond suit promotion is our plan, but this time we 
                don't have the precious Spade entry. Do you recall our earlier 
                review where we "ducked" (played low) to a six card suit headed 
                by the Ace and King to setup a long suit? Good - so let's do the 
                same thing here. We win the Spade King. Again, we hope opponents 
                are 3-2 in Diamonds, but this time playing a low 
                Diamond - ducking with a low card in the dummy. The opponents 
                win the trick and will certainly continue the Spade suit, 
                looking to promote their own suit - the race is on! We win the 
                trick with our remaining Spade King stopper, and now play our 
                Diamond Ace. We are delighted to see opponents both playing two 
                more Diamonds, leaving one. We can now play the dummy Diamond 
                King, and again have won four Diamond tricks to make our 
                contract using a long suit promotion - one step ahead of the 
                opponents Spade effort. If we initially played our two top 
                Diamonds in the dummy, the opponents would win the third trick, 
                leaving us no dummy entries - ducking the first round was the 
                only winning play - well done. 
                Now let’s try a 3 Notrump contract for South, looking at all 
                four hands:
                              S   K Q
              H   8 6 5 4
              D   7 6
              C   K 10 9 8 3
S   J 10 9 8 7 6  +----+   S   5 4
H   K 9 7         |    |   H   10 3 2
D   A K           |    |   D   5 4 3 2
C   Q J           +----+   C   7 6 5 4
              S   A 3 2
              H   A Q J
              D   Q J 10 9 8
              C   A 2
                West opens with 1 Spade and South ends up playing a 3 Notrump 
                contract. West leads the Spade Jack, optimistic about promoting 
                the long Spade suit with two Diamond entries. North wins the 
                Spade Queen. Should South take the Heart finesse or promote 
                Diamonds? We can see the finesse fails, West persisting with a 
                second Spade to North’s Spade King. Unfortunately for South, 
                it’s one trick too late to promote Diamonds – West wins one 
                Heart, two Diamonds and three Spades, so South goes down two. A 
                better tactic for South on the second trick is to win the 
                promotion race by immediately tackling Diamonds. The slugfest 
                goes like this, win a Spade, lose a Diamond, win a Spade, lose 
                the last Diamond, and win the last Spade. Congratulations, 
                you’ve won the race losing two Diamonds and one Heart making 3 
                Notrump with an overtrick. 
                Be aware the promotion play is only one of many tactics. 
                Always consider your contract objective and alternatives as well 
                as
                
                Environmental Factors. Let’s take a seemingly unimportant 
                Spade 2 away from South to illustrate how it can influence the 
                declarer’s tactics.
                              S   K Q
              H   8 6 5 4
              D   7 6
              C   K 10 9 8 3
S   J 10 9 8 7 6  +----+   S   5 4 2
H   K 9 7         |    |   H   3 2
D   A K           |    |   D   5 4 3 2
C   Q J           +----+   C   7 6 5 4
              S   A 3
              H   A Q J 10
              D   Q J 10 9 8
              C   A 2
                Giving up the Spade 2 and receiving the Heart 10 seems like a 
                great exchange. But now when West leads the Spade Jack, we can 
                see there’s no way to win the race! Win a Spade, lose a Diamond, 
                win the last Spade lose a Diamond, but now West is home free 
                winning two Diamonds and four Spades. What went wrong? South 
                only has two stoppers and West is one trick ahead of the 
                promotion race. How about the repeated Heart finesse? Sorry, 
                even if it worked, we only have eight tricks. Also, considering 
                we have 28 points and West opened, it’s hard to imagine East 
                holding a King; 40 points in the deck minus our 28, and West 
                probably opened with 12 points so East must be bust. Instead, 
                how about a Club finesse combined with a suit promotion? Based 
                on our math calculation (40-28=12), West likely has at least one 
                Club honor. So South begins with the Club Ace, the high card 
                from the short side and feels some relief when an honor appears 
                from West. Continuing with a second Club, declarer is overjoyed 
                to see the last honor appear, making five Clubs (pitching two 
                Diamonds is fine), three Hearts and two Spades. 
                Did you notice how giving up the tiny Spade led us to 
                changing our promotion strategy from Diamonds to Clubs? Bridge 
                is interesting that way, illustrating how such a little card can 
                make a big difference. Incidentally, if West didn’t open and we 
                thought East might hold the Heart King, a repeated Heart finesse 
                might be in order. For our final rendition, let’s give poor East 
                the Heart King, a second small Heart and a Club honor. So this 
                time West will not open the bidding. Note: while the play is 
                tricky on this hand, hopefully you will have an appreciation of 
                the repeated finesse coupled with creating an entry by 
                unblocking.
                              S   K Q
              H   8 6 5 4
              D   7 6
              C   K 10 9 8 3
S   J 10 9 8 7 6  +----+   S   5 4 2
H   9 7           |    |   H   K 3 2
D   A K           |    |   D   5 4 3 2
C   Q 7           +----+   C   J 6 5 4
              S   A 3
              H   A Q J 10
              D   Q J 10 9 8
              C   A 2
                As usual, West begins with the Spade Jack starting the 
                promotion race. As we saw above, we are one trick too late on 
                the Diamond suit. While we will probably win four Club and two 
                Spade tricks, the opponents will win three or more Spade tricks 
                and two Diamonds to set the 3 Notrump contract. Perhaps South 
                can try a repeated finesse in Hearts this time. 
                So after the Spade Jack lead, let’s play the dummy King - not 
                the Ace. We want to begin our Heart finesse tactic right away. 
                In a moment, you’ll see a sneaky way to use the Spade Queen as a 
                second entry. After winning the first trick, dummy plays a Heart 
                to South’s 10 and the trick holds (East chose not to play the 
                King). Next we win the Club Ace – this time West plays an 
                unhelpful low Club 7. Still, we play a second Club to dummy’s 
                King. We continue the Club promotion, knocking out East’s 
                remaining Jack – their last possible winning card in the suit. 
                What shall we pitch from South?
                              S   K
              H   8 6 5
              D   7 6
              C   10 9 8
S   J 10 9 8 7 6  +----+   S   5 4
H   9             |    |   H   K 3
D   A K           |    |   D   5 4 3 2
C    --           +----+   C   J
              S   A
              H   A Q J
              D   Q J 10 9 8
              C   --
                Before throwing a Diamond from the South hand, recall that we 
                desperately need dummy entries to win the promoted Club suit and 
                repeat the Heart finesse. Unfortunately, there are no more 
                entries when South holds the Spade Ace, so it appears we cannot 
                get the King. Yet when we stop to think about it for a moment, 
                we know the dummy’s King is just as good as our Ace, so let’s 
                pitch the Ace and we have found that precious dummy entry! While 
                this seems like a strange unblocking measure, we should live by 
                the credo, “desperate times call for desperate measures!” True, 
                South no longer can play a Spade to get to the dummy, yet the 
                opponents are stuck promoting your suits and eventually must 
                play to your precious Spade King entry. 
                Don’t worry about learning subtle unblocking play as we’ve 
                shown here – many strong players could easily miss this line of 
                play or try other sensible tactics. Yet hopefully you have a 
                better appreciation of promotion, entries, and finesses. Each 
                tactic has its place, often with just a card or two changing 
                places. So be on the lookout and let your creative juices flow.
                
                
                Also see Distribution Points - the Mathematics of Promotion