Thursday, April 6, 2023

Word to the Wise

 Greetings and salutations from your ever-pensive Bubbe, with a very timely word to share:

DEDUCTION

Obviously at this time of year, we think of tax preparation and the deductions that a person can take from their tax debt through charitable donations, medical expenses, mortgage interest, etc., etc. It’s obviously on everybody's mind.

However, “deduction” has multiple meanings for me at this time of year. There’s the (non-tax-related) mathematical term for removing, a synonym for subtraction.

There’s also the logic-related term, meaning “the inference of particular instances by reference to a general law or principle”. In other words, the solving of a puzzle based on other established facts.

We can talk about mahj and charity another time. The second and third definitions are most relevant to this article, in the context of figuring out patterns and learning the new card. Bubbe never advocates memorizing the card, per se—it’s always good to have it as a reference, especially for switching hands—but in general, I recommend being fluent enough in the card that you can remember what you’re playing without constantly looking back at your card as a reminder. You can focus, instead, on other players’ discards and what has been exposed; ideally, you can also keep your eye out for available jokers!

 

The basic rule about any specific hand’s components, the absolute fundamental of our version of mah jongg, is that every hand consists of 14 tiles

Therefore, every hand includes combinations that total 14. 

4+4+4+2=14

3+4+3+4=14

5+4+5=14

2+2+2+2+2+2+2=14

There are all kinds of ways to get to 14, and it’s a really valuable thing to recall when you’re trying to remember whether you have the right combination.

For instance, in that first equation, substitute “three kongs and a pair” and you're describing many hands all over the card. Often that additional pair is Flowers, which essentially serve as placeholders; they aren’t numbers, they aren’t suited. They must be natural (no jokers!), so thank goodness there are eight of them! Another thing to remember, for shorthand purposes, is that the “4” can refer to a kong of four of the same specific tile, or a special meld of four singles like NEWS or 2023. You can’t use jokers in those special melds, but for mathematical purposes, you can think of each as a block of four tiles.

Therefore---when you’re trying to remember what a hand consists of, you can work backwards (subtract AND infer) from what you already know about the hand.  If it’s a hand that includes NEWS, you have to somehow come up with 10 other tiles. If it’s a hand with a quint, there will be nine remaining tiles.

In my next two articles, I’m going to talk about a very specific kong that will unlock a lot of ways to remember hands, through both mathematical and logical deduction. I hope you’ll follow along. If you’re as smart as I think you are, you’re going to learn a lot of hands very easily this way.

This is as good a time as any to point out (speaking of deductions) that I DO sell books (a memoir/manual called Searching for Bubbe Fischer, as well as two mah jongg novels), and if you’re interested in any of them, you can contact me at bubbefischer@gmail.com for a special Bubbe fan rate. You can also email me with questions or comments any time.

Get ready for some serious card geekery!

Bubbe

 

Monday, April 3, 2023

Illegal exposures 2023

 Greetings and salutations from your efficient Bubbe, with a brief, but very useful, list.

Here are the“no-no’s”: melds that do NOT appear on the 2023 card, and therefore, would be ILLEGAL EXPOSURES. If you see someone putting them up on their rack, you may call their hand dead.

It’s a VERY short list this year:

no quints of ANY tiles except numbers

no pungs of Flowers

That’s it.

Seriously. This year’s quint hands only involve numbers, except for a kong of Winds in Q1 and a kong of Flowers in Q3. That’s it.

There are no Flower pungs this year, only kongs (and pairs, of course, but we don’t expose those!).

There may be an exposure of a pung, kong, or quint of ANY number.

There may be an exposure of a pung or kong of ANY dragon.

There may be an exposure of a pung or kong of ANY Wind.

If you have any questions or comments, feel free to email me at bubbefischer@gmail.com

I’ll have more interesting observations soon!

 

Bubbe

Sunday, April 2, 2023

RIGHT side of the 2023 card

 Greetings and salutations from your ever-faithful Bubbe, ready to tell you all about the right hand panel of the 2023 card.

Per the previous two “panel” articles, I will be using my conventional shorthand. For instance, W3a will refer to the first version of the third Wind hand, the one that uses North/South; SP2 will the second hand in the Singles and Pairs section. All concealed hands will be labeled in red.

 

WINDS and DRAGONS Section:

**Reminder that Y4 and Q1 also use Winds, and dragons are used in every section of the card except for Addition and Quints.**

W1a and W1b: This card provides a unique Winds opportunity, one that I think will make most players happy. You will use kongs and pungs of Winds for either hand, but you get to choose which set (North/South or East/West) has the kongs and which has the pungs. Anything can be exposed, jokers can be used for all parts…but PAY CLOSE ATTENTION, make sure each “partner” matches in size.

Backup ideas? Before you make any exposures, you can keep an eye on how your hand is shaping up and what is being discarded to decide which version of W1 you want: stronger on East/West or North/South? Once you make a commitment (through exposure), you could switch to the appropriate version of W2, W3, or W4 if necessary. And of course, if like numbers start showing up after one kong exposure, you could switch to Q1.


W2a and W2b: a single-suited run of consecutive numbers, with pungs of either N/S or E/W. Remember your math: there are always 14 tiles in a hand, and since six are Winds, the consecutive tiles are presented as pair, pair, kong (in that order). The run can start anywhere from 1-7.

Backup ideas? If you expose both of the Winds but find yourself unable to make the numeric sequence, you might be able to switch to the appropriate W1.

 

W3a and W3b: true Winds and Dragons hands, with kongs of N/S or E/W and pungs of dragons in any two suits. Again, as a pung-kong hand, all components can be exposed and/or use jokers.

Backup ideas? You could switch to a W1 or W4 with one or two Wind exposures, but once you put out a Wind kong and a dragon pung, you’re pretty much locked down, although you might switch to the third suit for the dragon if necessary. If you expose only the two dragon pungs, you could consider Y3 or 369#4, although those are a lot harder to make.

 

W4a and W4b: the “stealth” 2023 hands, pushed over to the Winds section. The key is to remember that the Flowers are the pair, so you need kongs of N/S or E/W to go with the 2023 meld.

Backup ideas? If more dragons come in and you’re having trouble getting the single numbers or pair of Flowers, you can consider W3. If more winds start to come in, switch to W1. The beauty is that neither of those hands require pairs, so your hand cannot be called dead.

 

W5: An interesting hand, with a single North, pair of Easts, pung of Wests and kong of Souths; that’s only ten tiles, so of course you will need a kong of Flowers. This is probably the choice to make if you have both Flowers AND Wind tiles, and you’ve managed to pick up the single North and pair of Easts early on.

Backup idea? There’s only one other option if you expose both the Wests and Souths: W1a. Once you expose a kong of Flowers with either the West pung or the South kong, you are locked into W5 and your hand could go dead.

 

W6: Another true Wind and Dragons hand, with kongs of any two dragons and a pair of N/S and single E/W. Remember that none of the Winds can be called for anything but the final tile.

Backup ideas? There are plenty of hands that use a dragon kong, but once you expose both kongs, your only option would be E5. Fortunately that is a pung/kong hand, so no one can call your hand dead.

 

W7: Another pung extravaganza, with Winds and consecutive numbers in two different suits. Adding up to 14, remember that the only singles are the East and West.

Backup ideas? Since it’s a concealed hand, no one needs to know what you are up to, but if you find that you can’t get the single East and West and have a lot of jokers, you could try Q1, Q3, W1a, or use one of your numbers in W2a.

 

 

369 Section:

**Reminder: There is another 369 hand, SP3.**

369 #1: Very straightforward pung and kong hand, in two suits. The 3’s must be a pung that matches the suit of the kong of 6’s, and the pung of 6’s match the suit of the kong of 9’s.

Backup ideas? Before any exposures are made, you will be fine collecting 369’s of all suits. Any single exposure could be modified into hands all over the card. If you have exposed both melds of suit A but suit B is no longer viable, you could switch to suit C. The only other double exposure that can switch to a different hand, if necessary, is 369 #3, with a pung of 3’s in one suit and a kong of 9’s in a second.

 

369 #2.1: 369 in one suit, with Flowers. It’s all kongs, except for the pair of 6’s.

Best backup hand? Bubbe’s going into her happy dance: the knit hand is back! 369 #6 has kongs of 3 and 9 in one suit, and pungs of 6’s and matching dragons in a second suit. It’s the best hand to choose if the pair of 6’s you need are no longer viable!!  Other backup ideas? 369 #2.1 is the only specifically monochrome 369 hand, but you could consider 369 #4, 369 #5, or 369 #7or even SP #3-- if the right tiles come your way.

 

369 #2.3: A three-suited version of 2.1, with each number in a different suit. You still need a kong of Flowers, and the pair is still 6’s.

Backup options? With one exposure, you’re fine, there are lots of hands with a kong exposed. If you expose the kong of Flowers and one number kong (the 3 or 9) but the pair of 6s are not viable in suit B, you could flip the remaining suits and switch to a pair of 6s in suit C….or you could change your hand to LN1. If you expose both the kong of 3 and the kong of 9, in two different suits, and the pair of 6s are not available in the third suit….well, your hand is going to be called dead.

 

369 #3: this is a three-suited stair-step hand, with two pairs in suit A, two pungs in suit B, and a kong in suit C. Both the pairs and pungs are 3’s and 6’s, and the kong is 9’s. The best way to start—like most hands in this section--is to hold onto every 3, 6, or 9 that you get in the Charleston and see how it takes shape. Obviously, the pairs are harder to get, so hold tight to the first suit that has natural pairs in the 3 and 6. Ideally it would be TWO suits, so you could easily call for the first pung opportunity.

Backup options? A single exposure of a pung or kong isn’t going to hurt you, but a double exposure of the 3 and 6 pungs only appears in one hand. You’d have to flip to the other suit’s pairs if the original suit’s 3 and 6 pairs don’t work out for you. IF you expose the 3 pung and the 9 kong, you could still go for 369 #1; if you expose the 6 pung and the 9 kong, you could go for CR2.3.

 

369 #4: Lots of pairs in suit A, with complementary pungs of dragons in suits B and C. There’s really no hand like it this year; the closest is E5, but those are dragon kongs. The thing to remember is it is FOUR pairs: 3, 6, 9 and Flowers.

Backup options? The only parts that can be exposed are the two dragon pungs; they also appear in Y3 and WD3, so you wouldn’t necessarily be tied down to this hand. If you start to accumulate more tiles before you expose any dragons, you might switch most easily to 369 #1, which also uses only one suit. If you find the numbers coming up strong, in two suits, you might consider going for SP3.

 

369 #5: single 3, pair of 6s, and pung of 9s in suit A, and then matching kongs of 3, 6, OR 9 in the other two suits.

Backup options? If you have no exposures and keep getting more of the numbers in suit A, consider going for 369 #2a. If you do expose one kong, it should not be a problem to find options all over the card. Even if you have exposed both kongs, LN1 and CR6 are good options. If they are kongs of 6’s, you could also play E2. If they are kongs of 3’s, you could play A3.  If you expose the pung of 9’s and any kong, you’ve given yourself no other option: there is only one such hand on the card.

 

369 #6: The knit hand! Per above, Bubbe is so happy! I just like them, they’re pretty. This time it’s kongs in one suit and pungs in the other, alternating through 3,6,9 and dragon. Just remember that the 6 and dragon are the pungs, so the kongs are the 3 and 9.

Backup options? One exposure is no big deal. If you expose the 3 and 9 kongs, you could manage 369 #2a if you can scrounge up the matching pair of 6’s. If you expose the 6 pung and 9 kong, you could switch to 369 #3 or CR2.2.  On the other hand, be careful with the dragon pung exposure: no matter what your second exposure would be, you would still have to play this hand; likewise, if you expose the 3 kong with the 6 pung.

 

369 #7: Another 4-pung hand. It’s very symmetric: pungs of 3’s and 9’s in two suits, with matching single 6’s. If you are collecting 369’s, it may fall into place for you beautifully.

Backup options? Because it’s a concealed hand, you can afford to wait a little bit before switching around. If literally all the 6’s go out (remember, you only need one, each of two suits), you could still go for LN1 or CR6…or (if you have a LOT of jokers) even Q1!

I think what we’re seeing, which is often true for this section, is how valuable a single or pair of 6’s can be in making or breaking a hand!!

 

SINGLES AND PAIRS section:

**Reminder: NO exposures; NO jokers; the only tile that may be called for is the final mahj tile.**

SP1: It’s essentially a skinnylicious version of O1.1, but with identical runs in two suits. The trick is to remember the pairs are on the ends, with single 357’s between.

Backup options? Obviously if one suit comes in a lot stronger than the other, O1.1 is a great choice—you would already have the pairs you need, on both ends. You also might find that there’s an imbalance between the two suits: if more of the “middle” comes in for suit B, and the “ends” come in for suit A, you could try O7.

 

SP2: A miniature version of so many CR hands, but most specifically CR6, with the two numbers paired in all three suits, plus two Flowers to complete the set of 14 tiles. Pay attention throughout the Charleston, you may have a chance to collect the same numbers in all three suits.

Backup options? If you get a much stronger representation in both numbers but only two of the suits, and/or jokers, strongly consider CR6. If you have significant strength in one number in several suits, consider LN1 or Q1. Keep an eye on multi-suit, multi-number options as well, including A1 and Q2. Finally….if you happen to be collecting 2’s and 3’s and multiple Soaps turn up, then you might consider Y1, Y2, or best of all, SP6!

 

SP3: A miniature 369 hand. It’s got pairs of 3, 6 and 9 in two different suits, plus single matching dragons.

Backup options? If more dragons come in and only one suit’s pairs work out, consider 369 #4. If you find yourself with 9’s of the third suit, consider 369 #3. If the distribution goes a little awry and you can’t get more than one of either 6, and/or you find yourself with some jokers, switch to 369 #7.

 

SP4: A miniature Even hand: single 2 and 4, with pairs of 6 and 8, in two suits; you also need a pair of Flowers to complete the hand.

Backup options? If jokers come along, assess where your strengths are. You could stick with just one suit, e.g. E1 or E3.1, or choose a two-suited hand like E3.2.

 

SP5: The most literal Consecutive Runs hand. It’s seven pairs in one suit, starting at 1, 2, or 3.

Backup options? Again, see where your strengths lie, and pay attention to discards and exposures. If you have more than one joker and are not really hitting the entire number line, and/or a key number is no longer available, you might reconsider and switch to CR2.1, or possibly CR1a or b if the tiles fall that way. CR5.1 might also be an option.

 

SP6: It’s back, just where it should be; three suits of the 2023 meld, supplemented with a pair of Flowers. You REALLY have to pay close attention to discards and exposures. If a second Soap is thrown before you’re ready for it, you’ve got to switch. If any of your numbers becomes unviable, you’ve got to switch. They don’t give 75 cents out randomly, you’ve gotta earn that stack of quarters.

Backup options? Go for any of the “year” hands throughout the card, especially once you’ve got one complete meld. If you have jokers, Y1 or even Y2 might not be too much of a stretch. Another strange option, if the Soaps go out, is mentioned above: is there a chance you could make SP2 with 2’s and 3’s?!

 

 

Whew. That was a lot. I hope this triggered at least a few good ideas for you. I’ll be back soon with illegal exposures (of which there are VERY FEW this year), as well as some other interesting Card info—but the meat of it, section by section, is now available to you. “Go and learn,” as they say.

If you have questions or comments, you can reach me at bubbefischer@gmail.com

Talk to you soon!

 

Bubbe

Friday, March 31, 2023

MIDDLE PANEL of 2023 card

 

Greetings and salutations from your busy bee, Bubbe, trying to lay out the new card for you before I go back to my Passover Prep! This installment covers the MIDDLE panel of the card.

Per my previous post, I will be using my conventional notation, e.g. Q1 for the first Quint hand, CR5.1 and CR 5.3 for the one- and three-suited versions of the fifth Consecutive Run hand (one of my favorites!!). All concealed hands will be indicated by red font.

Just gonna dig right in!

 

QUINTS section:

Q1: less complicated than previous years, where there were two Quints and a kong using a specific combination of three of (Winds, dragons, numbers, Flowers). This year it’s strictly one kong of ANY Wind and quints of a like number in two suits. You will need at least two jokers to make this hand, but any meld can be called for and exposed.

Backup hands? IF someone starts to play multiple Winds, e.g. W1a or W1b, or Winds get discarded quickly, you could conceivably switch around to LN1 by keeping one “natural” pair and using your numerous jokers to build the kong in the third suit. In fact, if they put out a kong of the Wind you were collecting, using a joker or two, exchange for those jokers to help your hand!

 

Q2: a super-size version of CR1a. Must be these exact numbers, and don’t say it’s confusing. Two 2’s, three 3’s, four 4’s, five 5’s. All the same suit. In theory, you could make it with only one joker, which is why it pays less than the other two Quint hands.

Backup hands? Pre-exposure, you can obviously switch to CR1a, but you will need natural pairs of 1’s and 5’s. It works better in the other direction (see below).

Other backup options include CR2.1, especially if you have exposed the pung and kong. CR2.2 and CR 6 are other possibilities, but you really would have to scramble to get the tiles in the second suit.

 

Q3: a super-size version of CR5.3.  Quints of any two consecutive numbers, in different suits, plus a kong of Flowers. Again, you will need at least two jokers to make this hand, but any meld can be called for and exposed.

Backup hands? I don’t necessarily recommend any; this is a situation where it works better the other way, with THIS being the backup hand when your original planned hand, requiring a pair or two, falls through due to exposures and discards. HOWEVER, before exposing any of the Quints, if you find yourself with a third number in a third suit (either above or below the original two), you could switch to CR5.3. Generally speaking, unless there is a really strong reason to switch, I would keep this hand going—even with one exposure, e.g. a quint of 7 craks, you still have four viable groups for the second quint: 6 dot, 8 dot, 6 bam, and 8 bam. You could even switch over to Q1 if you’re feeling very lucky. Remember what Bubbe says: “Life’s too short to play boring mah jongg hands!”

 

CONSECUTIVE RUNS section:

**Reminder that Y1, Y2, Y4, A1, Q2, Q3, W2a, W2b, W7, SP2 and SP5 also utilize Consecutive Runs**

CR1a and CR1b: this is the same hand, on either the lower or upper end of the number line. This year’s pattern is a bell curve, with a pair of the lowest number, ascending to a pung and then the kong of the middle number, back down to a pung before the final pair. It MUST be specifically 1-5 or 5-9, you can’t use any other number combination. All one suit.

Easiest backup hand? CR2.1. Remember, although CR1 MUST be specific numbers, CR2.1 works with any four consecutive numbers in the same suit. If you are having trouble getting the lowest pair, but you have exposed the mid-section of pung, kong, pung, guess what? You only have to build up your final group from a pair to a kong, and voila! Another easy backup hand if you’re blessed with jokers? Q2—as long as you have a natural pair of 2’s.

Other backup options: So, so many, especially pre-exposure. Every hand in CR section, as well as the ones listed above. SP5 is a particular treat, sometimes it just drops in your lap!

 

CR2.1 and CR2.2: This is a simple consecutive pung-kong hand, in either one suit or two (CR2.2 is NOT knitted: it goes pung-kong in suit A and then pung-kong in suit B). This can be ANY four consecutive numbers, so it can start between 1-6.

Best backup? Stay right here on the CR2 line and be flexible in your sequence: for example, if you have a perfect sequence of a pung of 6 bams and a kong of 7 bams, you could build with 4/5 or 8/9, in ANY suit—there could be as many as 6 possible variations. If you have the same two numbers in another suit, you could switch to CR6. Keep your options open!

Other backup options? Again, keep your mind open, especially pre-exposure. If you have a few Flowers, you might be able to switch from CR2.1 to CR5.1.

 

CR3: Ah, always lovely to see you again, old hand. Pair of Flowers, ANY two consecutive numbers, and a kong of their matching dragon. It’s an easy one to collect, just remember that this year the pair is the Flowers.

Backup ideas? This is not as simple as some of the other CR hands vis-à-vis switching. Except for 3 dots in Y1, there is no other hand that includes a kong of a number and its matching dragon. Fortunately the only vulnerability in CR3 is the pair of Flowers. If you have the Flower pair and expose two consecutive kongs in the same suit, but the dragons are unavailable, you can switch to CR5.1, with the third kong either above or below those two numbers.

 

CR4: Pretty nifty little hand, always interesting to see singles. This is a three-suited hand. The first piece is a baby staircase: first one, then pair, then pung all in one suit; then kongs of the next two numbers, in the complementary suits. It can float anywhere on the number line (the first number can be as high as 5). It will take a bit more to achieve, so it pays 30 cents instead of 25.

Backup ideas? If you can’t get that single tile for the beginning, but have exposed the consecutive kongs in two suits, then your best bet is to switch to CR5.3. You will need a pair of Flowers, but the number part should be simple: switch the preceding pung to a kong…IF it hasn’t been exposed. If you have exposed a pung in suit A, it may be tricky to salvage unless it’s a very specific situation like CR6 or O1.3. If you haven’t exposed anything at all but have a nice little run going, with Winds, consider W2a or W2b.

 

CR5.1 and CR5.3: Another of Bubbe’s favorites, the proverbial “junk hand” in one suit or three. Very versatile if varied parts in one section of the number line keep turning up in the Charleston. Just remember that you can start anywhere from 1-7 as long as the three kongs are consecutive, and finish up with a pair of Flowers.

Backup ideas? CR5.1, being single-suited, can go to almost any of the CR hands. CR5.3 is a little quirkier. You might consider Y2, E4, A1, A2, Q3, CR2.3, O2a, O2b, O3a, or O3b. As an exercise, I recommended looking at those hands and trying to figure out how each overlaps with CR5.3.

 

CR6: Another pung-kong hand (no pairs), so everything can be exposed, or use jokers. It’s basically the sibling to CR2.2, if you think of it as parallel instead of sequential. These are identical consecutive numbers as pung and kong, in two different suits. It’s a very simple hand, and it can begin anywhere from 1-8 on the number line.

Backup ideas? Probably the closest match is a very select hand: Y1 has pungs of 2’s in two different suits, with a kong of 3’s in one of them. In the very specific case where a player had more Soaps than 3’s in the second suit, it would make sense to switch from CR6 to Y1. For the other 98+ percent of hands, your best bet would be CR2.2, per above.

 

CR7: Interesting three-suited, two-pair hand, a little bit like CR4. The first two consecutive numbers (can start with any number from 1-7) are pairs in suit A; the following pungs are in each of the complementary suits (B and C), and it’s completed with a kong of Flowers. The trickiest piece is definitely the pair of consecutive pairs; everything else can be exposed and/or use jokers.

Backup ideas? Y1 and CR6 have exposures of matching pungs in two different suits; matching pungs AND a kong of Flowers occur in O6a and O6b. Of these, Y1 and CR6 are better options, since they involve only kongs (no pairs).

 

CR8: This is the CR cousin of E6: four pairs, interspersed with two pungs. Again, why only 30 cents? The thing to remember, just as with E6, is that it’s all in one suit. You need a pair of Flowers and a pair of matching dragons; the two pungs are the highest and the lowest numbers on the run, starting anywhere from 1-6.

Backup ideas? It’s a concealed hand, so no one needs to know if you can’t make it work. You might need to switch to one of the single-suited CR options. If you can get the Flowers and dragons, try CR3; if you only have the Flowers, try CR5.1; if you have neither Flowers nor dragons, try CR2.

 

ODD (13579) section:

**Reminder that there is an Odd Singles and Pairs hand, SP1, and ALL Odd hands use the specific numbers as written on the card**

 

O1.1: The equivalent of CR1, this is a bell curve hand with pairs of 1’s and 9’s on the end, pungs of 3’s and 7’s, and a kong of 5’s in the middle. O1.1 is all one suit.

Backup ideas? O4a and O4b are probably your best bets, since they are also single-suited Odd hands. They will require matching Flowers and dragons.

 

O1.3: Although this has the exact same bell curve design as O1.1, it has some unique nuances, so I will deal with it separately. O1.3 is three suits: the 1 and 3 in suit A, the kong of 5’s in suit B, and the 7 and 9 in suit C.

Backup ideas? The three suits open up all sorts of possibilities. O2a and O2b, O5a and O5b, O6a and O6b, and O8—all multi-suited hands--could be considered. The trickiest thing about any of these hands is getting any necessary pairs.

 

O2a and O2b: A simple pung and kong hand, in two suits, on either the lower or upper end of the Odd number line. Every component can be called for exposure and/or use jokers.

Backup ideas? The upper and lower O5 combinations are a natural switch for these hands, if you haven’t made exposures yet. You are simply downsizing the first pung and kong, and the final kong, so that you can shoehorn a kong of dragons (of the final suit) into the middle. Other possible backups include the O3’s (because the two kongs can swing) or the O6’s, where you add a pung of the highest number, in the third suit. Finally, you might consider CR5.3, based on the two kongs, with a kong of the middle number in the third suit.

 

O3a and O3b: The Odd equivalent of the three-suited junk hand, CR5.3, it’s a pair of Flowers with three-suited kongs on the lower or upper Odd number line.

Best backup idea? The respective O2 combination, which will use two of the three kongs. You could also go for CR5.3.

 

O4a and O4b: A single-suited hand, with pairs of Flowers, dragons, and the middle number. The top and bottom numbers are represented in kongs. Note that each hand uses a kong of 5’s.

Best backup idea? If you can’t get the pair of dragons, you might actually consider the appropriate CR1 (upper or lower number line). Both of the even numbers in that hand are pungs, which might be easier to obtain.

 

O5a and O5b: a three-suited bell curve, with the lower pair and pung ascending in suit A; the kong of dragons in suit B; and the descending pung and pair in suit C. There are two versions, on the lower and upper Odd number line.

Best backup idea? This is an easy one. If you can’t get the dragons of that other suit, switch to the respective O2. It’s all pungs and kongs. The problem is the only exposure that remains the same is the second pung; all the others are modified, from low pair and pung to pung and kong, and from high pair to kong. It’s actually a lot easier to switch in this direction as long as nothing else has been exposed.

 

O6a and O6b: the key to remembering this one is that it needs a kong of Flowers. Other than that, the lowest two numbers are pairs in suit A, and then there are pungs of the highest number in both suit B and C. There are two versions, on the lower and upper Odd number line.

Best backup idea? If you’re having trouble getting a pair but you have enough jokers, you could switch to O2 with the second suit of your choice. There are no pairs required for that hand. Another option, if you are very close and have the middle pair (3 or 7), you could switch to CR7, with its matching pungs and kong of Flowers; you would need to get the interim pair--4 or 8, depending on your end of the number line.

 

O7: kongs of 1’s and 9’s in suit A, surrounding pairs of 3, 5, and 7 in suit B. It is very straightforward, think of it as a sandwich—better yet, a meatball sub—with a large roll sub roll and three good-sized meatballs in the middle.

Best backup idea? You can pretty easily turn it into O2b, the two-suited pung-kong hand on the upper end of the number line. Anything that is missing with the 5’s or 7’s of suit B can be fixed with jokers; the only significant missing component is the pung of 7’s in suit A. It is harder to fix this into O2a, since you will need to gather an entire kong of 3’s in suit A, but depending on your distribution of tiles, it may be a better fit.

 

O8: A fistful of pungs!! There are two sequences, lower half and upper half of the Odd number line, each in its own suit. You need pungs surrounding each “middle” (3 and 7). It’s not terribly complicated—remember that both groups need pungs of 5’s—but it is concealed, so be careful!!

Best backup hands? First of all, as a concealed hand, no one will know what you’re up to, but if you’re just not getting those middle singles—and especially if you see all four exposed or discarded--it is time to reconsider. If you have matching dragons and Flowers, consider O4a or O4b, a single-suited hand. If you have lots of jokers and Flowers, consider O6a, with a kong of Flowers, pairs of 1’s and 3’s in suit A, the pung of 5’s from suit B, and find pung of 5’s from suit C. Another option with jokers and Flowers is to go for LN1 in 5’s; use one of the natural pairs of 5’s and use the jokers to complete the other kongs of 5’s.

 

If you have been following along with this, you’re a real trouper! I will confess that, of all the sections of the card, this year the Odds section really left me cold! I apologize that I didn’t give it as much enthusiasm as the others. I always tell people not to rule out any section of the card and to play the tiles you are dealt…..so I hope I’m not dealt a lot of odd tiles this year!!

 

The next article will be about the right side of the card—the Winds, 369, and Singles and Pairs—and then we move on to more analysis. Bubbe will always have a lot to say, you can count on that!!

 

If you have any questions or comments, please feel free to contact me at bubbefischer@gmail.com

 

Talk to you soon!

 

Bubbe