Spoony Exercise 6: Counting Hand Combinations

The first five exercises were connected, and this will start a new set of connected exercises. Here we're going to practice counting hand hold'em hand combinations. For instruction on how to do this, study this thread: http://www.flopturnriver.com/pokerfo...tc-161721.html

For each hand and board, calculate how many combinations are in the sample "Villain's range" given to you by listing the combinations of each individual hand. Don't worry too much about why Villain's range is what I'm telling you it is, this is just for practicing counting hand combinations.

Example: We hold AK on K82, Villain's range is {AK-KJ, 88, 22}. That's 28 combinations, listed as follows: AK(6), KQ(8), KJ(8), 88(3), 22(3).

1. We hold 22 on K82. Villain's range is {AK-KT, KK+, 88, 22}.
2. We hold AK on QT4. Villain's range is {AQ-QT, AK-KJ, TT+, 44}.
3. We hold JJ on A42. Villain's range is {AK-AT, 22+}.
4. We hold AK on QJTAT. Villain's range is {TT+, AK}.
5. We hold 98 on T62. Villain's range is {broadways, 22+}.

Afterward: Counting combinations at the table is usually too involved to do, but counting them over and over in your analysis will allow you to develop a feel for the size of a player's range and what it consists of. That's why counting up combinations in your study is so important, even though it's not practical at the tables.

1.) AK(12), KQ(12), KJ(12), KT(12), KK(3), AA(6), 88(3), 22(0) = 60 combos
2.) AQ(9), KQ(9), QJ(12), QT(9), AK(9), KJ(12), TT(3), JJ(6), QQ(3), KK(3), AA(3), 44(3) = 81 combos
3.) AK(12), AQ(12), AJ(6), AT(12), 22(3), 44(3) 33, 55-TT(42), JJ(1), QQ(6), KK(6), AA(3)= 106 combos
4.) TT(1), JJ(3), QQ(3), KK(3), AA(1), AK(6)= 17 combos
5.) 22(3), 33-55(18), 66(3), 77(6), 88-TT(9), JJ-AA(24), TJ(12), QT(12), KT(12), AT(12), QJ(16), KJ(16), AJ(16), KQ(16), AQ(16), AK(16) = 207 combos

Edit: Gonna double check these since I have a habit of skipping/missing things.

Edit: Nakamura spotted that I was wrong with AQ in #2.

I'm willing to bet that at least 4 people skip #3-5 and go straight to this one, then once these get complicated they wait for the next 'series' to start up roflz.

1) AK(12), KQ(12), KJ(12), KT(12), KK(3), AA(6), 88(3), 22(0) = 60 total of which 6 beat us.
2)AQ(9), KQ(9), QJ(12), QT(9), AK(9), KJ(12), TT(3), JJ(6), QQ(3), KK(3), AA(3), 44(3) = 81 total of which 60 beat us. 9 tie
3)AK(9), AQ(9), AJ(6), AT(9), AA(3), KK(6), QQ(6), JJ(1), TT(6), 99(6), 88(6), 77(6), 66(6), 55(6), 44(3), 33(6), 22(3) = 97 total of which 54 beat us, 1 ties.
4)AA(1), KK(3), QQ(3), JJ(3), TT(1), AK(6) = 17 total of which 8 beat us and 9 tie.
5)AK(16), AQ(16), AJ(16), AT(12), KQ(16), KJ(16), KT(12), QJ(12), QT(12), JT(12), 22(3), 33(6), 44(6), 55(6), 66(3), 77(6), 88(3), 99(3), TT(3), JJ(6), QQ(6), KK(6), AA(6) = 203 of which everything is currently beating us.

I think those numbers are right despite being different than DRs but I could be missing something.

Don-

3.) Your AK, AQ, AT are wrong. We hold JJ which doesn't block any of those hands. There's only one (A) blocker to any of those hands. 4(K, Q, T) * 3 (A) = 12 combos, not 9.

5.) You have QJ as 12. Again, we hold 89, board is T high, there are no blockers to this hand. 4(Q) * 4(J) = 16 combos.

With those mistakes fixed, I believe our answers are the same.

whoops, I was looking at the wrong set up for those first 3 on #3 >_> and on 5 looks like I was on a role typing in 12s there haha. Thanks

I hope the BC realizes how valuable this information is, most notably the link in the FP. Funny thing, I'm not sure if I want to applaud Spoon or kick him in the balls for laying it all on the line. Of course you still have to comprehend it all and put it into practice though, which 90% of you probably won't do. For those that do however, you're on your way.

Originally Posted by OhioRounder

I hope the BC realizes how valuable this information is, most notably the link in the FP. Funny thing, I'm not sure if I want to applaud Spoon or kick him in the balls for laying it all on the line. Of course you still have to comprehend it all and put it into practice though, which 90% of you probably won't do. For those that do however, you're on your way.

I'm not sure what to think of you taking the time to type this out but not taking the time to do the exercise.

Oh and FWIW, I didn't mean for the above post to sound like I know it all (because I don't) or that I'm that much better than anyone here (because I don't really know any of you). I just wanted to reinforce what Spoon is teaching. That is all.

EDIT re: Spoon - it's not that hard to read and do the calculations in your head. So in response to your question, I did do the exercise (sort of) just not pen on paper, so to speak. Plus, I just wanted to give you props for putting some good info out there yet making guys do some homework type stuff to help comprehend it.

hand 1
22=0
88=3
KK=3
kT+12
kj+12
kQ+12
aK=12
aa=6 ( forgot this one at first)
=60

1. We hold 22 on K82. Villain's range is {AK-KT, KK+, 88, 22}.
- AK, KT+, KK+, 88, 22 => 12(AK) + 12(KT) + 12(KJ) + 12(KQ) + 3(KK) + 6(AA) + 3(88) + 0(22) = 60

2. We hold AK on QT4. Villain's range is {AQ-QT, AK-KJ, TT+, 44}.
- QT+, KJ+, AQ+, TT+, 44 => 12(QJ) + 9(QT) + 12(KJ) + 9(KQ) + 9(AQ) + 9(AK) + 3(TT) + 6(JJ) + 3(QQ) + 3(KK) + 3(AA) + 3(44) = 81

3. We hold JJ on A42. Villain's range is {AK-AT, 22+}.
- AT+, 22+ => 12(AT) + 6(AJ) + 12(AQ) + 12(AK) + 9(22, 44, AA) + 1(JJ) + 54(33, 55-TT, QQ, KK) = 106

4. We hold AK on QJTAT. Villain's range is {TT+, AK}.
- TT+, AK => 1(TT) + 3(JJ) + 3(QQ) + 3(KK) + 1(AA) + 6(AK) = 17

5. We hold 98 on T62. Villain's range is {broadways, 22+}.
- JT, QT+, KT+ AT+, 22+=> 48(JT, QT, KT, AT) + 96(QJ, KJ+, AJ+) + 15(22, 66, 88-TT) + 48(33-55, 77, JJ+) = 207

1. AK(12), KQ(12), KJ(12), KT(12), AA(6), KK(3), 88(3), 22(0) = 60 combos
2. AQ(9), KQ(9), QJ(12), QT(9), AK(9), KJ(12), TT(3), JJ(6), QQ(3), KK(3), AA(3), 44(3) = 81 combos
3. AK(12), AQ(12), AJ(6), AT(12), 22(3), 33(6), 44(3), 55-TT(36), JJ(1), QQ(6), KK(6), AA(3)
4. TT(1), JJ(3), QQ(3), KK(3), AA(1), AK(6) = 17 combos
5. AK(16), AQ(16), AJ(16), AT(12), KQ(16), KJ(16), KT(12), QJ(16), QT(12), JT(12), 22(3), 66(3), 88(3), 99(3), TT(3), 33-55(18), 77(6), JJ-AA(24) = 207 combos

1. We hold 22 on K82. Villain's range is {AK-KT, KK+, 88, 22}.
AK-KT (4*12 = 48), KK (3), AA (6), 88 (3), 22 (0), total 58.

2. We hold AK on QT4. Villain's range is {AQ-QT, AK-KJ, TT+, 44}.
AQ, KQ (2*9 = 18), QJ (12), QT (9), AK (9), KJ (12), TT (3), JJ (6), QQ-AA (3*3 = 9), 33 (3), total 81.

3. We hold JJ on A42. Villain's range is {AK-AT, 22+}.
AK-AT (4*12 = 48), sets (3*3 = 9), JJ (1), other pairs (9*6 = 48), total 106.

4. We hold AK on QJTAT. Villain's range is {TT+, AK}.
TT (1), JJ (3), QQ (3), KK (3), AA (1), AK (6), total 17.

5. We hold 98 on T62. Villain's range is {broadways, 22+}.
AT-JT (4*12 = 48), unpaired broadways with no T (6*16 = 96), sets (9), 88 (3), 99 (3), other pairs (8*6 = 48), total 207.

Let's see....

1) 22 (0) , 88(3), KK(3), AA(6), AK(12), KQ(12), KJ(12), KT(12) = 60
2) AQ(9), KQ(9), QJ(12), QT(9), AK(9), KJ(12), TT(3), JJ(6), QQ(3), KK+(6), 44(3) = 81
3) AK(12), AQ(12), AJ(6), AT(12), 22(3), 44(3), 33(6), 55-TT(36), JJ(1), QQ-KK(12), AA(3)=106
4) TT(1), JJ(3), QQ(3), KK(3), AA(1), AK(6)= 17
5)22, 66, TT(9), 33-77(24), 88-99(6), TT(3), JJ+(24), Broadways(144)=210

Now I get to see how bad I am......I should do this more often...

1. We hold 22 on K82. Villain's range is {AK-KT, KK+, 88, 22}.
KT (12), KJ (12), KQ, (12), AK (12), KK (3), AA (6), 88 (3), 22 (0)
60 combos?

2. We hold AK on QT4. Villain's range is {AQ-QT, AK-KJ, TT+, 44}.
QT (8), QJ (12), KQ (12), AQ (9), KJ (12), KQ, (9), AK (9), TT (3), JJ (6), QQ (3), KK (3), AA (3), 44 (3)
92 combos?

3. We hold JJ on A42. Villain's range is {AK-AT, 22+}.
AT (12), AJ (6), AQ (12), AK (12), 22 (3), 33 (6), 44 (3) 55-TT (6x6=36), JJ (1), QQ (6), KK (6), AA (3)
110 combos?

4. We hold AK on QJTAT. Villain's range is {TT+, AK}.
TT (1), JJ (3), QQ (3), KK (3), AA (1), AK (6)
17 combos?

5. We hold 98 on T62. Villain's range is {broadways, 22+}.
JT (12), QT (12), KT (12), AT (12), QJ (16), KJ (16), AJ (16), KQ (16) AQ (16), AK (16), 22 (3), 33-55 (3x6=18), 66 (3), 77 (6), 88 (3), 99 (3), TT (3), JJ+ (4x6=24)
205 combos?

haha cant wait to compare my answers with someone with half a poker brain's.

ughh. i had read spoons combos and blockers post a while ago and didnt bother refreshing myself on the content before i did the exercise. it shows.

I had read the Hand Combination post a while back, but I had to read it again. I checked my answers against the others and I guess they're ok.

1) 22(0), 88(3), KK(3), AA(6), KT(12), KJ(12), KQ(12), KA(12) = 60
2) 44(3), TT(3), JJ(6), QQ(3), KK(3), AA(3), KJ(12), KQ(9), KA(9), QT(9), QJ(12), QA(9) = 81
3) 22(3), 33(6), 44(3), 55(6), 66(6), 77(6), 88(6), 99(6), TT(6), JJ(1), QQ(6), KK(6), AA(3), AT(12), AJ(6), AQ(12), AK(12) = 106
4) TT(1), JJ(3), QQ(3), KK(3), AA(1), AK(6) = 17
5) 22(3), 33(6), 44(6), 55(6), 66(3), 77(6), 88(3), 99(3), TT(3), JJ(6), QQ(6), KK(6), AA(6), TJ(12), TQ(12), TK(12), TA(12), JQ(16), JK(16), JA(16), QK(16), QA(16), AK(16) = 207

Originally Posted by spoonitnow

The first five exercises were connected, and this will start a new set of connected exercises. Here we're going to practice counting hand hold'em hand combinations. For instruction on how to do this, study this thread: http://www.flopturnriver.com/pokerfo...tc-161721.html

For each hand and board, calculate how many combinations are in the sample "Villain's range" given to you by listing the combinations of each individual hand. Don't worry too much about why Villain's range is what I'm telling you it is, this is just for practicing counting hand combinations.

Example: We hold AK on K82, Villain's range is {AK-KJ, 88, 22}. That's 28 combinations, listed as follows: AK(6), KQ(8), KJ(8), 88(3), 22(3).

1. We hold 22 on K82. Villain's range is {AK-KT, KK+, 88, 22}.
2. We hold AK on QT4. Villain's range is {AQ-QT, AK-KJ, TT+, 44}.
3. We hold JJ on A42. Villain's range is {AK-AT, 22+}.
4. We hold AK on QJTAT. Villain's range is {TT+, AK}.
5. We hold 98 on T62. Villain's range is {broadways, 22+}.

Afterward: Counting combinations at the table is usually too involved to do, but counting them over and over in your analysis will allow you to develop a feel for the size of a player's range and what it consists of. That's why counting up combinations in your study is so important, even though it's not practical at the tables.

Ok, let me try this since I failed at Spoony 5.

1. AK(16), AQ(16), AJ(16), AT(16), KQ(16), KJ(16), KT(16), 88(6) 22(1) for a total of 119 hand combinations.
2. AQ(9), AJ(12), AT(12), KQ(9), KJ(12), QJ(12), QT(9), AA(3), KK(3), QQ(3), JJ(6), TT(3), 44(3) for a total of 96 combinations

Oops, got a late start at lunch today at work... will be back later to finish up...

1.
AK(12), KJ(12), K10(12), KK(3), AA(6), 88(3), 22(0)
2.
AK(9) AQ(9), AJ(12), A10(9), KQ(9), KJ(12), K10(9), QJ(12), QT(9), TT(3), JJ(4), QQ(3) KK(3), AA(3), 44(3)
3.
AK(12), AQ(12), AJ(6), A10(12), 22(3), 33(6), 44(3), 55-TT(36), JJ(1), QQ(6), KK(6), AA(3)
4.
TT(1), JJ(3), QQ(3), KK(3), AA(1), AK(2)
5.
22(3), 33-55(18), 66(3), 77(6), 88-TT(9), JJ-AA(24), AT-AK(46), KT(12), KJ(16), KQ(16), QT(12), QJ(16)

1. AK(12), KQ(12), KJ(12), KT(12) KK(3) AA(6) 88(3), 22(0) = 60combos

2. AQ(9), KQ(9), QJ(12), QT(9) AK(9), KQ(9), KJ(12) TT(3), JJ(6), QQ-AA(3) 44(3)= 90combos

3. AK(12), AQ(12), AJ(6) AT(12) 22(3), 33(6), 44(3), 55- TT(6), JJ(1), QQ-KK(6), AA(3)= 106combos

4. TT(1), JJ(3), QQ(3), KK(3), AA(1) AK(6)=17combos

5. KQ,KJ, QJ(16each), 22(3), 33-55(6), 66(3), 77(6), 88(3), 99(3), TT(3), JJ-AA(6)= 111combos