Read These First

Sunday, February 6, 2022

 Note to subscribers:

I am experimenting with creating a quiz format. It's still a work in progress.


Today we are going to try a bidding quiz

1. You are the dealer and you hold

 A2
♥ K42
 KJ3
 AJ962

What is your bid?

2. Let's move a couple cards to the heart suit. What is your bid now?

 A2
♥ K9642
 KJ3
 AJ2

Thursday, January 20, 2022

Bidding Over a Weak Two

Today, we’ll look at a hand where a weak two spade opening bid makes it difficult for the opposing side to find their best contract. Well, that’s part of the reason for bidding a weak two, isn’t it?

Edie picks up this nice hand. She has 16 HCP and 5-3-3-2 distribution. She intends to open 1NT, but Norm, sitting to Edie’s left, thwarts her plan by opening 2 spades.

Edie
A2
K42
KJ3
AJ962

Edie could bid 2NT over 2 spades, but she is worried about the weak spade holding, now. Still, with 16 points (17 with distribution) she would like to bid. She chooses to bid 3 clubs. Making an overcall at the 3 level requires a strong hand. She has that.

Sally is next and considers competing with 3 spades, but decides to pass, hoping that her partner’s opening bid will keep the opponents from finding their best contract.

Sally
864
JT
AQ952
843

Walt is delighted to hear about his partner’s strong hand and 5-card club suit. His void is more valuable with his extra length in his partner’s suit. He counts his points as 7 in high cards, 5 for the void with extra trump support and one for the doubleton. That’s 13 points, and he expects his partner to better than an opening hand to be able to make an overcall at the 3 level. He wants to be in game, for certain. He thinks that slam might be possible. After all, his partner might have 20 points. On the other hand, how does he find it? Blackwood is no use. If Edie responds with 5 diamonds, showing just one ace, they are committed to going to slam—off 3 aces.

Walt
J3
Q98763
-
KQT75

Walt just silently curses Norm’s weak 2 bid, and bids 5 clubs. Norm has said all he is allowed to say with his opening bid, so he passes. Edie decides that she has already shown the full strength of her hand with her 3-level overcall and passes, also. Sally passes.

Sally is on lead.

Sally
864
JT
AQ952
843

There is hardly anything to think about. She leads the 8 of spades as a “top of nothing” lead to her partner’s suit.

Edie makes a plan for the hand.

 

Dummy
J3
Q98763
-
KQT75

 

 

Edie
A2
K42
KJ3
AJ962

 

She sees no losers in clubs even if they break 3-0. There is a loser in spades and at least one in hearts. From the point of view of her hand, she would like to ruff three diamonds in dummy. The AJ9 of clubs in her hand will be able to pull the trumps, so she can use the big trumps in dummy to do the ruffing before pulling trumps. She will need transportation to her hand. That shouldn’t be a problem. She can get there with the A of spades and two rounds of trump.

She still needs to hold heart losers to one. She can try a heart finesse through the opponent of her choice. If that fails, there is the possibility of a 2-2 heart break. If that also fails, there might be a chance for a second finesse toward the Q98 in hearts. We’ll see how that works out. Let’s play.

Edie plays small from dummy, Norm plays “third hand high” with the Q. Edie takes the A in her hand and immediately starts to ruff diamonds. She leads the 3. Sally plays small. Edie ruffs with the K. Norm follows with the 4.

Edie returns to her hand by leading the 5 of clubs to the A. Norm discards the 6 of diamonds. Sally follows with the 3. The 3-0 break is no problem.

Edie continues by ruffing a second diamond with the Q and returns a small club to the J. Edie still has a diamond to ruff and another trump to pull. Then, she needs to tackle the hearts.

 

Dummy
J
Q98763
-
T

 

 

Edie
2
K42
K
962

 

Edie stops to worry a little. She still needs to ruff the diamond in dummy but won’t be able to immediately pull the last trump. Her plan is to lead a small heart toward the K, hoping that Norm jumps up with the A. That would solve her heart loser problem, but might Sally have started with a doubleton spade or singleton heart and be poised to ruff Norm’s return? Norm probably started with exactly 6 spades. That leaves 3 for Sally. They might have started 7-2, but probably not. How about a singleton heart? That’s a distinct possibility. If Sally started with a singleton heart, and Norm has the A, and Norm returns a heart after taking the A, Sally will win a trick with her last trump. Well, hardly any hand is sure thing. There isn’t any way to avoid this risk after the 3-0 trump break.

Edie continues with her plan. She plays the K of diamonds, Sally covers with the A, and dummy ruffs with the ten. Now, Edie leads a small heart toward the K. Norm jumps up with the A, cashes his K of spades, and returns a heart. Edie plays the K, and Sally follows suit. Thanks, Sally.

Now, Edie pulls the last trump with the 9, and leads the 4 of hearts to the Q. All the opposing hearts are gone, but Edie is left with nothing but trumps in her hand. She claims the rest.

Thursday, January 13, 2022

Stayman Convention

The Stayman convention is used when the responder to a no trump opening bid would like to try to find a 4-4 major suit fit. He starts the convention by bidding 2 clubs over the 1 NT opener. We'll look at the opening no trump bidders responses before looking at the requirements for the Stayman bid.

No Trump Bidder's Answer

The opening no trump bidder's responses are straight forward. If she has a 4-card major, she bids it. If she has both of them she bids 2 hearts, giving her partner the chance to show spades if he has them, but not hearts. If she has neither major suit, she bids 2 diamonds. Easy-peasy. There is no chance that she will be 5-4 in the majors, because she would not open no trump with that holding.

Stayman Bidder's Rebid

Let's first consider what happens if the opening no trump bidder responds 2 diamonds. This bid is artificial. It doesn't promise anything in diamonds other than what an opening no trump bid would promise. The Stayman bidder can't leave his partner there. He has to bid on. He can bid 2 NT to invite game in no trump or 3 NT to put the team in game. There is also the chance that he is interested in slam, but we won't worry about that, today.

Similarly, if the Stayman bidder held just the 4-card heart suit, and his partner responded with 2 spades, he would need to either invite game with 2 NT or bid 3NT.

These sequences illustrates why the Stayman bidder must be at least strong enough to invite game in order to make the initial Stayman inquiry. If the opening NT bidder doesn't have the Stayman bidder's suit, he must at least invite game in NT.

There is an unusual exception. If the Stayman bidder has a 5-card diamond suit and BOTH 4-card majors, he can bid Stayman with 0 points. He can safely pass any response by the opener. 

Should the no trump bidder respond with 2 hearts and the Stayman bidder has spades, but not hearts, he should bid 2 spades over the heart response. The opener might have both and bid the cheaper one first.

Of course, there is the chance that the opener bids your suit. Great. Now what? You either invite game or bid it in the suit fit that you just found. DON'T PASS.

Opener's Rebid

If the Stayman bidder bid game either in NT or the 4-card suit that the opener showed with her Stayman response, she should simply pass. The Stayman bidder knows how strong the opener's hand is and has set the contract. No negotiation is required.

Similarly, if the Stayman bidder invited game, the opener should either bid game with a maximum no trump opener or pass with a minimum. Yeah, there is that middle-valued hand of 16 points. You need to make a judgement call.

What about a sequence like this?
Opener: 1NT
Responder: 2C (Stayman inquiry)
Opener: 2H
Responder: 2S

Here, the opener doesn't know if the Stayman bidder has enough to force game, or not. She does know that her partner has enough to invite, game though. Therefore, if she is on the top of her 1NT opener, she should bid game, either in spades if she has 4 of them or in no trump if she doesn't. If she is on the bottom of her opening bid, she should show that by making a minimum raise of 3S with 4 cards in spades or 2NT without the spade support.

Opening bids of 2NT and 3NT

The Stayman response works the same way opposite a 2NT or 3NT opener, it just happens at a higher level. The Stayman bidder needs enough strength to force game, since any bidding sequence that doesn't show an immediate fit will end at game level.

Opposite a 1NT overcall

A 1NT overcall shows the same sort of hand as an opening 1NT bid. A 2 club response is still the Stayman convention, and all sequences are the same as above.

Versus Interference

If the left-hand opponent of the opening no trump bidder throws in an overcall, the 2 C bid will not be available to the responder. There is a bid to handle that situation. It is known as "cue bid Stayman." If the responder is strong enough to force game, he can bid the same suit as the overcall at the 3 level. If the overcall was a minor suit, this bid can show either 4-card major. If the overcall was a major suit, it specifically shows the other major.

Saturday, January 8, 2022

Bad Breaks

Today, we’ll look at a hand that has several chances to make. Declarer’s job is to figure out the plan with the highest chance of success.

Three players pass to Sally who holds  

Sally
7
76
AK83
AKQT32

She has 16 points in high cards and can count 2 distribution points for the 5th and 6th club plus one more for the second suit. That’s 19 points. She could open 1 club, but her hand will only have 4 losers with reasonable breaks in the minor suits. She decides to open with the artificial strong 2 club bid. If you would prefer to open 1 club with this hand, I wouldn’t criticize you. 

Remember that Sally’s opening 2C bid does not promise anything about clubs.

Walt, sitting to Sally’s left, passes. Sally’s partner holds

Norm
KT52
A32
QJT4
86

That’s 10 points in high cards, and 1 distribution point for the second suit. Norm wants to make a positive response to the 2C opener. Any suit bid that he makes would imply a 5-card suit. He chooses to respond 2NT. The opponents pass at every opportunity from here on.

Norm’s positive response forces the team to game, and is a strong invitation to investigate slam. Sally isn’t crazy about NT, and she hasn’t said anything about her suits yet. Both players understand that they are going to game, and slam is a possibility. There is no reason to hurry the bidding. They should take their time to find a fit. Sally bids 3 clubs.

Norm doesn’t care for the clubs, even though Sally ought to have 5 of them for her bid. Having already denied a 5-card suit, Norm can show his 4-card suits, hoping to find a 4-4 fit. He should bid them up the line to keep the bidding low. He bids 3 diamonds.

Sally is happy with the 4-4 fit in diamonds. Sure, the 6-card club suit is pretty, but there is a guaranteed diamond fit. She decides that the team will be playing a diamond contract. Next, she needs to figure out whether the team should be in a slam or not. Even a grand slam is possible. Norm has not limited the upper end of his strength. Sally figures that if Norm has one ace, along with his other 4+ points, there should be a reasonable chance for a small slam. Sure, his ace might be the ace of spades and the rest of his points might be in spades and diamonds. That would be bad news. The opponents could take the AK of hearts off the top and set a small slam. It could happen, but that is too pessimistic. Sally bids 4NT, the Blackwood convention to find out how many aces Norm has.

Norm responds 5D showing one ace. Had Norm bid 5H, showing both of the missing aces, Sally might ask for kings to see if a grand slam were possible. But, he didn’t. Sally is satisfied with the 1 ace and bids 6 diamonds. Everyone passes.

 

Edie leads the ace of spades and Norm makes a plan for the hand

 

Dummy
7
76
AK83
AKQT32

 

 

Norm
KT52
A32
QJT4
86

 

It looks pretty good, so far. There shouldn’t be any losers in diamonds unless they break 5-0. Edie’s lead just promoted the K of spades to a winner. Norm will still have 2 spade losers and 2 heart losers in his hand after losing the A of spades. He could try to ruff some spades and hearts in dummy, but that will require getting to his hand several times, and he’ll need to do all that ruffing before pulling trumps. He might be able to avoid ruffing anything if the clubs break 3-2. If that is the case, he can pull trumps, and then discard all of his losers on the clubs. But, what if they don’t break 3-2?

Let’s stop and take a look at the hand from dummy’s point of view. Dummy will lose a trick to the ace of spades and has one heart loser. Clubs might not have any losers. If that is the case, dummy can discard the losing heart on the king of spades, and everything is wonderful. If the clubs don’t break, Norm can ruff a club in his hand and the rest of the clubs will be good. That sounds like a pretty good plan. This idea of thinking of the dummy as the “long hand” and ruffing in declarer’s hand is known as a “dummy reversal.”

Dummy plans to pull trump, run clubs, and discard a heart on the king of spades. Norm is ready to play the small spade from dummy and a small one from his hand. Edie continues with the 4 of clubs, leading around to weakness. Sally plays the ace and Walt follows suit. Sally start her plan by drawing trump. She leads the A and K from dummy, and Walt discards a small spade on the second trump.

Sally can still pull all the trump, but it will take all her trumps to do it. That’s still not a problem if the clubs break 3-2. Unfortunately, by the time Sally finds out that they don’t, all her trumps will be gone. She can’t test them, first, by leading a second trump, because if they break 4-1 and the player with the singleton is the player with the remaining trumps, she will lose a trick to a ruff. Her only choice is to hope for the best in clubs.

She continues pulling trump and leads a second club. Edie uncooperatively discards a heart on the second club, and there is no way for dummy to avoid losing a club. What’s worse is that she won’t be able to take any more clubs even after knocking out the Jack. She doesn’t have any more entries to the board. The contract ends up down 3.

Still, for such a disastrous result to happen, the trumps needed to split 4-1 and the clubs needed to split 4-1. Probability favors getting a 3-2 break in at least one of those suits. It was a good plan. It just didn't work out.

Thursday, January 6, 2022

Is 2 clubs too confusing?

 A bid of 2 clubs often has an artificial meaning. It's important to know when 2 clubs means that you have a club suit and when it means something completely different. If you mix these things up when either you or your partner bids 2 clubs, expect disaster.

Opening the bidding with 2 clubs

Let's start with the 2 club opening bid. Remember that when I say "opening bid" I mean no one has said anything other than pass before your bid. This opening 2 club bid means that you have a very strong hand, practically enough for game with no help from your partner. It says nothing about clubs.

You might also open 2 clubs if you have a no trump hand that is too strong to open 2 NT (20-21 HCP), but not strong enough to open 3NT (25-27 HCP). When you have a no trump hand with 22-24 HCP, you open 2 clubs intending to bid no trump at your next turn.

What if you have a hand that looks like a weak 2 opener with a long club suit? Well, you certainly can't open with a weak two clubs. You partner will expect that you have a strong hand. So, what do you do? If you can count enough distribution points to get to 13, you can open 1 club.  If your outside suits are particularly weak, you might open 3 clubs. Your partner will expect you to have a 7-card club suit. You almost do. Passing is often the best choice.

Responding to an opening bid with 2 clubs

If your partner opens the bidding with 1 in a suit, a 2 club response is natural. It shows a legitimate club suit. 

If your partner opened 1 NT, your 2 club response is the Stayman convention. You are asking your partner to bid a 4-card major if she has one. It says nothing about clubs. I was supposed to post a discussion about Stayman, wasn't I? It looks like I never got around to it. Watch for it next week.

What if you have a long club suit and your partner opened 1NT? Well, you certainly can't bid 2 clubs. That is the Stayman convention. Instead, you use Jacoby transfers and bid 2 spades. Your partner will automatically bid 3 clubs.

Overcalling with 2 clubs

An overcall of 2 clubs is natural, showing a strong 5-card suit. Remember the terminology. If your opponents opened the bidding and you decide to make the first bid for your side, this is not an opening bid. It is an overcall. For example, if your right-hand opponent (RHO) opens 1 heart and you say 2 clubs, that is not a 2 club opener. It is a 2 club overcall. You are showing a good club suit and probably close to opening strength.

What if you have a really strong hand that you would have opened 2 clubs with, but your RHO opened the bidding? First of all, don't hold your breath waiting for this to happen. Your RHO has 13 points, and there are only 40 high card points in the deck. It's hard for you to come up with the 23 points or so that would warrant a 2 club opener. It happens sometimes, though. Your best bet is to make a takeout double, even if you do not have support for any suit that your partner might bid. You will correct to your suit at your next turn, and partner will recognize that you must have had a hand that was too strong to make a simple overcall.

Summary

OK, there you have it. Two clubs often has a special meaning, so watch out for it.

Thursday, December 30, 2021

Using All the Information Available

Today we look at a 1 NT hand. We will see how declarer uses all the information that is available to make a brilliant choice for a play at the end of the hand.

Norm is the dealer and bids 1 diamond with this hand:

Norm
J8
T986
AT74
AK8

He has 12 points in high cards and can count one distribution point for the second suit. He has no 5-card major, so he bids his better minor suit.

Edie is sitting to Norm’s left and was surprised that Norm opened the bidding. She holds:

Edie
AK6
A75
KQJ85
64

Without Norm’s opening bid, she was trying to decide whether to open 1NT or 1 diamond. She has the balanced distribution and the required 15-17 HCP to open 1NT, but she was worried about the worthless doubleton. One diamond is a safer opening bid, and she could jump in diamonds at her next turn to show her strength. Then, Norm goofed up her plan with his opening 1 diamond bid. Now, bidding diamonds is out of the question. Her only alternative to bidding 1NT is to pass. She decides to risk the club trouble and overcall 1NT.

Sally happily passes with this hand:

Sally
Q954
QJ3
9
QT753

Had there not been the 1NT overcall, Sally would have a demand bid with 6 points opposite her partner’s opening bid. She doesn’t have the required 10 points to show her club suit, therefore she would have responded with 1 spade. The overcall, however, relieves her of her obligation to keep the bidding open for her partner. A free bid over the 15-17 points shown by Edie would need to guarantee that her side had the balance of the strength in the hand. She should probably pass any hand weaker than 10 points. She does.

Walt holds

Walt
T732
K42
632
J92

With 8 or more points, Walt might look for a 4-4 spade fit with the Stayman convention, but he has only 4 points. He passes.

Norm has just a minimum opening hand and no help from his partner. He passes also.

Sally is on lead against 1NT. She wants to find the strongest combined holding for her side. He first consideration is the suit that her partner bid, but his 1 diamond opening might be based on a 3-card suit, Sally holds only one card there, and the 1NT overcall should have the opener’s suit stopped at least once, preferably twice. Sally needs to look elsewhere for an opening lead.

Sally
Q954
QJ3
9
QT753

The clubs are longer than the spades, however, Norm indicated that his diamonds were better than his clubs. A spade lead is worth considering, but Sally decides to go with clubs. Having just two honors at the top of the suit, she leads her 4th highest—the 5.

Now, Edie pauses to make a plan for the hand before playing to the first trick.

Dummy
T732
K42
632
J92

 

 

Declarer
AK6
A75
KQJ85
64

 

In no trump, Edie starts by counting how many tricks she can take off the top. Well, with the club lead, that number is zero. She can use the rule of 11 to reason that there are 6 cards outside of Sally’s hand that are bigger than the 5 of clubs. Edie can see 3 of them, so Norm must have 3 clubs bigger than the 5. That’s good. It means that the opponents can run at most 5 tricks in clubs. Let’s suppose that happens and the 6th trick is either a spade or a heart. Now, Edie can take 4 tricks in spades and hearts. She will need to take 3 more tricks to make the contract. The diamonds look like a good choice. Edie will need to force out the ace of diamonds, probably losing one of her top honors in the process. Then, she will have two good honor cards to cash. If the diamonds break 3-2, her two small diamonds will be set up, and she’ll make an over trick. If they break 4-1, the 4 cards will certainly be in the hand that opened 1 diamond. She might be able to win a trick with a deep finesse. She might not have the luxury of just losing the 4th diamond trick to set up the little one. If the opponents lead hearts at every opportunity, Edie will be out of heart winners after losing the 4th heart, and she will lose a bunch of hearts before she can cash her little diamond. Still, it looks like she has a solid plan.

Edie decides to play a small club from dummy. Norm wins with the ace, cashes the King of clubs and returns a small club.  Edie discards a small heart. Sally takes with the Queen and continues to cash her small clubs. Now Edie needs to be careful with her discards. She needs to preserve two small diamonds in dummy in case she needs to try a fancy finesse if there is a bad diamond break. She discards a small heart from dummy. Norm plays a small heart and Edie finds herself in a tight spot. She discards a spade, and plans to discard a small diamond on the next club. There goes one chance for an extra trick in diamonds.

Sally leads her last club. Edie discards a spade. Norm plays a heart, and Edie plays a diamond as planned.

Here is what is left for Edie before Sally leads. Edie hasn’t taken any tricks, yet.

Dummy
T73
K4
632

 

 

Declarer
AK
A7
KQJ8

 

Sally continues with the Queen of hearts. Edie needs to preserve the entry to the board, so she takes with the ace in her hand. Now, she needs to force out the ace of diamonds. She leads the King. Sally follows with her 9. Dummy plays small, and Norm takes the ace. He hopes that he can eventually take the ten of diamonds after the Queen and Jack are played. He decides to take out declarer’s only entry to the board by leading a heart.

The King wins on the board. Now, Edie leads a small diamond from the board and Norm plays the 7. If the diamonds break 3-2, Edie can take the Q and J of diamonds and cash the last diamond. However, if they break 4-1, this play will set up the ten for the opponents. She could, instead, decide to finesse the 8. That play works against a 4-1 break, but loses if Sally started out with the T9 of diamonds. Edie knows that Norm started with at least 3 diamonds based on his opening bid. The only way that the finesse fails is if Norm opened 1 diamond with the A74 of diamonds and the AK8 of clubs. Since Edie was paying such careful attention to the cards that Norm had played and could visualize the hand he started with, she bravely plays the 8 of diamonds on this trick.

The 8 holds. Edie breathes a sigh of relief, and she cashes the rest of her tricks to make 1 NT.

Friday, December 24, 2021

Where did these point ranges come from?

Most bridge players are familiar with "rules" like these:
  • 13 points to open the bidding
  •  6 points to respond to opener
  • 26 points for a game in a major suit or no trump
  • 28 points for a game in a minor suit
  • 33 points for a small slam
  • 37 points for a grand slam
Did you ever wonder where they came from?

Consider the whole deck. Each suit has 10 HCP in it, so there are 40 HCP in the deck. There are 13 tricks in the hand, so one trick is worth about 40/13 points, or slightly more than 3 points. In other words, you can expect to take a trick for every 3 points in your hand. Let's examine some of these familiar point ranges:

 

13 points to open

With 4 players and 40 points in the deck, a 10-point hand is an average hand. If your hand is 1 trick stronger than average, you should open the bidding: 13 points.

6 points to respond to opener

Your partner's opening bid is at least 13 points, but it might be much stronger. If you have 6 points, it is likely that your side has the balance of the strength (more than 20 points between you). If that is the case, the contract likely belongs to your side. You should keep the bidding open for your partner.

26 points for a game in a major or no trump

If your side has 26 points, that is 2 tricks more than average. Half the tricks is 6 1/2. Two more is 8 1/2. OK, that's a little bit of a stretch. Still, it seems to work out. Also, the scoring bonus for making a game is usually better than the penalty for going set. It's worth stretching to bid and maybe make a game.

We require the same total strength for a no trump game (9 tricks) as for a game with a trump suit (10 tricks). That is because it is usually a little easier to take tricks with a trump suit.

28 points for a game in a minor

That seems like only 2/3 of a trick more than the requirements for a game in a major. We're stretching, again.

33 points for a small slam

With 40 points in the deck, you don't expect to be missing 2 aces if your side has 33 points. You might notice that we require 5 more points to bid six than we needed to bid five. Here, the bonus for making a slam is not so lucrative that you want to risk losing the bonus for making a game.

33 points for a small slam

With 40 points in the deck, you don't expect to be missing 1 ace if your side has 33 points. 
 

Saturday, September 25, 2021

An Easier Slam

Today, we’ll look at a small slam that is easy to bid and easy to make. Not every lesson needs to be hard.

 

Norm
A98
A983
AK6
A52

 

Walt
?

Dealer: Edie

W

N

E

S

 

 

Pass

1D

Pass

2H

Pass

3H

Pass

6H

Pass

Pass

Pass

 

 

 

 

 

 

 

 

 

 

 

Edie
?

 

Sally
QJ6
KQJ7
Q9875
4

 

 

The Bidding

For this lesson, the opponents’ hands don’t matter much, so I haven’t shown them. Edie passes and Sally chooses to open the bidding. She has 11 HCP and can count 2 points for distribution—one for the 5th diamond and one for the second suit. Walt passes. Norm has 19 HCP and balanced distribution. No trump seems like a good place to land, but he doesn’t have an appropriate no trump response. Remember that no trump bids generally show a specific point range. Point ranges for trump responses to a one-of-a-minor opening are:

1NT: 6-9 HCP

2NT: 13-15 HCP

3NT: 16-18 HCP

Another issue is that Norm should be thinking about slam. His partner should have at least 13 points and he has 19. Just one more point makes the 33 points needed for slam. Sally could easily pass the 3NT response with a minimum opener. The solution is to make a jump shift. The jump shift by responder shows 19+ points, is forcing to game, and strongly suggests that slam is possible. Norm bids 2H. Edie passes.

Sally is happy with hearts. She responds 3H. That bid doesn’t give any additional information about the strength of her hand. It just shows a heart fit. Walt passes.

Now, Norm has a difficult decision to make. He is happy to have found a heart fit, but he still likes no trump. The problem with no trump is that 3NT is likely to be passed and 4NT is the Blackwood ace-asking convention. Norm needs to give up on no trump. He needs to be happy with finding a heart fit.

Now, how does Norm figure out if their side has enough strength for a small slam? How about a grand slam? What about all the holes in his hand? Let’s consider the last question first. Sure, it looks like his hand is only good for 5 tricks, but Sally has to have her 13 points somewhere. That’s why you consider the combined strength of the two hands when deciding where to place the contract. There really isn’t any way to figure out if Sally has the 14 points needed to add to Norm’s 19 to get to 33. He just needs to take a chance. There isn’t any way for him to figure out if Sally has the 18 points needed to get to the 37 needed for a grand slam either. Norm is going to need to leave that up to Sally.

What about Blackwood? Well, there is no information to be gained from asking for aces. Norm has them all. He could bid 4NT, knowing what Sally’s answer will be, and then bid 5NT to see if she has the missing 3 kings. What does he do if she answers with 2 kings? It’s hard to say. Norm just skips all the rigmarole and bids a small slam.

The bidding isn’t over, yet. Sally knows that Norm has at least 19 points. If she happens to have 18 or more points, she can raise the 6H to 7H on her own. She knows that Norm hasn’t learned about her extra strength yet, and his first jump-shift bit has told her that the team has enough strength for grand slam.

The Play

Edie is on lead and starts with a small club. Norm starts by counting his losers. He can only afford to lose one trick.

 

Dummy
QJ6
KQJ7
Q9875
4

 

 

Norm
A98
A983
AK6
A52

 

There shouldn’t be any trump losers unless the missing 5 trumps break 5-0. Norm might lose the K of spades. He shouldn’t lose any diamonds, but clubs might be an issue. He could try to ruff two clubs in dummy, but he will need dummy’s high hearts to pull trump. A better plan is to discard the club losers on dummy’s small diamonds after that suit is established. That will work if the 5 outstanding diamonds break 3-2. If all else fails, there is a spade finesse for the king. So, there are multiple ways to make the hand.

Plan A: Pull trumps. If they break 5-0, Norm will lose a trump trick. If that’s the case, he’ll need the favorable diamond split and the spade finesse. Knowing which hand holds the trumps, might open up some fancier plays, but we won’t get into those.

Plan B: Pull trumps. They break 4-1. Now, Norm needs only the favorable diamond break OR the spade finesse. He can try the diamonds first by leading the A and K. If they break 4-1, he leads to the diamond Q and tries the spade finesse.

Plan C: Pull trumps. They break 3-2. That’s the easiest way. After pulling trumps, each hand has a little trump left. If the diamonds break 4-1, Norm can ruff the 4th diamond in his hand and return to the board by ruffing a club. Then, he can cash the 5th diamond to discard his losing club.

Let’s play through one of those scenarios. Norm starts by taking the A of clubs and cashes the A of hearts. Both players follow. He leads a small heart to the K on the board. Walt follows and Edie shows out. Norm is on the board with this holding:

 

Dummy
QJ6
QJ
Q9875

 

Norm
A98
98
AK6
52

Norm is going to need the QJ of hearts to pull Walt’s trumps. There is still a spade to lose. If Norm finishes pulling trumps before knocking out the K of spades, he can lose a club—having no more trumps in his hand. Therefore, he needs to switch gears and work on the spades.

He tries a finesse. The finesse doesn’t need to work, but it doesn’t hurt to try. Norm leads the spade Q from dummy. Edie follows small. Norm ducks in his hand and Walt takes the K. Now, Walt leads the K of clubs. Darn! Norm can’t afford to use one of the high trumps to win this trick, and he can’t afford to lose the trick either. He’s sunk.

Let’s back up. Suppose on trick 2, Norm leads a small trump to the KQJ on the board. He takes the K and leads the Q. Edie shows out. Now, Norm is in almost the same position, but he still has a small trump on the board that he can ruff a club return with.

 

Dummy
QJ6
J7
Q9875

 

 

Norm
A98
A9
AK6
52

 

 

Now, Norm tries the spade finesse that loses. Walt returns the K of clubs, but Norm can ruff with the 7 of hearts. Walt still holds 2 trumps. Norm is on the board and cannot afford to lose any more tricks. Once trumps are pulled, he has two spade winners and can run the diamonds as long as they split 3-2. He leads the J of hearts and the 6 of spades to the A. As long as Walt didn’t start with 4 trumps and the singleton K of spades, Norm will win this trick with the A and can pull Walt’s last trump. Then, it is a simple matter of running the diamonds. This play works with an unfortunate 4-1 trump break and a losing spade finesse, as long as the diamonds break 3-2. Those are pretty good odds.

 

Dummy
J6
J
Q9875

 

 

Norm
A9
A9
AK6
5

 

 

Bidding Fast, Then Slow

  Today, we’ll look at another slam bidding sequence. Sally is the dealer and passes. Walt holds Walt ♠ KQ7532 ♥ KQJ6 ♦ J3 ♣ 5 Th...