Greetings and salutations from Bubbe, mulling over the possibilities on the 2021 card.
Yesterday's article about illegal exposures ended up being one about LEGAL, DUAL exposures, because there are only two illegal (singular) exposures on this year's card. That's not an article, it's a tweet! To give you more information, I prepared an exhaustive list of every possible double exposure which can be made on the card.
Yes, I've got way too much time on my hands, but I also found it to be a really useful exercise in learning the card. You might want to use the list to look for those combinations on the card. I'm using it today to discuss ambiguous exposures. Being able to recognize them is helpful for two reasons:
1) If you're defending against an opponent who has exposed two melds, you need to recognize what they're playing so you don't throw a tile that they need. Sometimes you may incorrectly guess their hand, especially when there is more than one hand that uses those two exposures. In cases of ambiguous exposure, it's important to know what the hands might be, and therefore what the "safe tiles" are.
2) If YOU have made those two exposures, you may need some flexibility. Perhaps the other tiles you need have all gone out, or you may get some useful tiles and want to change up your hand. It's important to know your options, limited as you are by the already-exposed two melds.
Let's go back over the list and point out the ambiguous exposures, those that correspond to more than one hand.
The good news is there are only 104 of them, about a third of the total number of legal exposures. Another way to think of that is, two-thirds of dual exposures point to only ONE specific hand.
I certainly don't expect you to memorize the ambiguous exposures, but it's helpful to familiarize yourself with those types of hands. Any guesses as to which combinations appear in the most hands? Answers at the end!
KEY: * means same hand with option of suit (or Wind in Q#1)
** means same hand with option of suit AND could be "above" or "below" these exposures
***means same hand, same suit BUT could be "above" or "below" these exposures
****Grey area. Needs same number in both suits: one is for pair, one is for kong
+ Could be any Odd number
++ Could be any Even number
+++ Could be any number at all (LOL!!)
AMBIGUOUS EXPOSURES IN SAME SUIT:
111 2222 (LN #2*)
111 3333 (O #3*)
111 DDDD (LN #4*)
222 444 (E #5, CR #1)
222 1111 (2021 #2*)
222 3333 (CR #1, #2*, #4)
222 4444 (E #2*)
222 0000 (2021 #2*)
222 DDDD (LN #3*)
333 4444 (CR #2**, #3, #4)
333 5555 (O #1, #3*)
333 6666 (369 #1*)
333 DDDD (LN #3*, CR #3)
444 5555 (CR #2**, #3, #4)
444 DDDD (LN #3*, CR #3)
555 6666 (CR #2**, #3, #4)
555 7777 (O #3*)
555 DDDD (LN #3*, CR #3)
666 888 (E #3, CR #1)
666 999 (369 #5*)
666 7777 (CR #1, #2**, #3, #4)
666 8888 (E #2*)
666 9999 (369 #1*, #4)
666 DDDD (LN #3*, CR #3)
666 FFFFF (CR #4, 369 #4)
777 8888 (CR #2*, #3, #4)
777 9999 (O #2, #3*)
777 DDDD (LN #3*, CR #3)
888 9999 (CR #2*, #3, #4)
888 DDDD (E#3, LN #3, CR #3)
999 DDDD (LN #3*)
1111 0000 (2021 #2*)
1111 FFFF (LN #2****, O#5)
1111 FFFFF (Q #1*)
2222 3333 (CR #5***)
2222 4444 (E #6, CR #5)
2222 FFFF (2021 #3, LN #2****)
2222 FFFFF (Q #1*)
3333 4444 (CR #5***)
3333 6666 (369 #3, #6)
3333 9999 (369 #2, #6)
3333 FFFF (LN #2****)
3333 FFFFF (Q1*, CR #4)
4444 5555 (CR #5***)
4444 6666 (E #6, CR #5)
4444 FFFF (LN #2****)
4444 FFFFF (Q #1*, CR #4)
5555 6666 (CR #5***)
5555 FFFF (LN #2****, O #5 A OR B)
5555 FFFFF (Q #1*, CR #4)
6666 7777 (CR #5***)
6666 FFFF (LN #2****)
6666 FFFFF (Q #1*, CR #4)
7777 8888 (CR #5***)
7777 FFFF (LN #2****)
7777 FFFFF (Q #1*, CR #4)
8888 FFFF (LN #2****)
8888 FFFFF (Q #1*, CR #4)
9999 DDD (O #2, 369 #2)
9999 FFFF (LN #2****, O #5)
9999 FFFFF (Q #1*, CR #4, 369 #4)
NNN SSS (WD #2+, #3)
EEE WWW (WD #1, #2++)
NNNN SSSS (WD #1, #4, #6)
EEEE WWWW (WD #5, #6)
(any Wind Quint) FFFFF (Q #1+++)
AMBIGUOUS EXPOSURES IN TWO DIFFERENT SUITS
Reminder: ***means same hand. The last exposure is in third suit BUT could be "above" or "below" these exposures
111 333 (CR #2, O #3)
222 222 (2021 #2, LN #3, CR #6)
222 8888 (E #2, #5)
333 333 (LN #3, CR #6, O #4)
333 DDDD (LN #3, O #4)
444 444 (LN #3, CR #6)
555 555 (LN #3, CR #6)
555 777 (CR #2, O #3)
666 666 (LN #3, CR #6)
666 DDDD (LN #3, 369 #5)
777 777 (LN #3, CR #6, O#4)
777 DDDD (LN #3, O #4)
888 888 (LN #3, CR #6)
999 999 (LN #3, 369 #3)
999 DDDD (LN #3, 369 #5)
1111 1111 (LN #1, #2)
1111 2222 (2021 #1, CR #5)
2222 2222 (LN #1, #2)
2222 3333 (CR #5***)
2222 4444 (CR #2, #5)
3333 3333 (LN #1, #2)
3333 4444 (CR #5***)
3333 5555 (CR #2, #5, O #3)
4444 4444 (LN #1, #2, CR #7)
4444 5555 (CR #5***)
4444 6666 (CR #2, #5)
5555 5555 (LN #1, #2, CR #7)
5555 6666 (CR #5***)
5555 7777 (CR #2, #5)
6666 6666 (LN #1, #2, CR #7)
6666 7777 (CR #5***)
6666 8888 (CR #2, #5)
6666 9999 (369 #1, #6)
7777 7777 (LN #1, #2, CR #7)
7777 8888 (CR #5***)
7777 9999 (CR #2, #5, O #3, #6)
8888 8888 (LN #1, #2, CR #7)
DDDD DDDD (E #7, LN #3)
These can all be used as examples, when we talk about switching hands tomorrow and the next day.
Answer time!! Which same-suit double exposure combination appears in the most hands? It’s 666 7777 (CR #1, #2**, #3, #4). It can show up in
55 666 7777 888 99
444 5555 666 7777
444 5555 666
7777
666 7777 888 9999
666
7777
888 9999
4 55 666 7777 DDDD
FFFFF 55 666 7777
Which tw0-suited double exposure combination appears in the most hands? It's 7777 9999 (CR #2, #5, O #3, #6). It can show up in
666 7777 888 9999
FF 7777 8888 9999
555 7777 777 9999
11 33 55 7777 9999
Of course, if you REALLY want to be a stickler, the most ambiguous hand, the hand with the MOST variations, is Q #1:
FFFFF
XXXX NNNNN
where X can be any numeric tile at all!
As usual, if you have any questions or comments, or if you find something I missed, please contact me at Bubbefischer@gmail.com I love hearing from you.
Talk to you soon.
Bubbe Fischer
Just trying to follow along here. First one 111 2222 - shouldn't that be CR #2? and the third one 111 DDDD - LK #3? Maybe I don't understand what you're conveying.
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