Thursday, May 31, 2018

Appendix GTO Numbers with tournament odds

1)Defend such that opponent is indifferent to bluffing. Meaning they cannot bluff profitably with any two and you have the best hand range possible without allowing them to bluff profitably with any two. Defend=call OR raise.
2)Bet/raise such that you have equity to call a bet plus an equal amount of bluffs. Meaning that if opponent defended properly by calling and it was checked to the river you would profit more than if you folded.
3) Tournaments mean opponents shouldn't defend as much and when they do we need more equity to have value (plus some bluffs)

Defend range of 2x pot bet:
1) 33.33%
2) 18.15%
3) 12.50%
4) 9.53%
5) 7.70%
6) 6.46%
7) 5.56%
8) 4.89%

Defend range for a 1x pot bet:
1) 50%
2) 29.29%
3) 20.63%
4) 15.91%
5) 12.95%
6) 10.91%
7) 9.43%
8) 7.41%

Defend range for half pot bet:
1) 66.66%
2) 42.27%
3) 30.66%
4) 24.02%
5) 19.73%
6) 16.73%
7) 14.53%
8) 12.83%

Equity range for 2x pot bet with 1 opponent:
1) 85%
2) 44.3%
3) 26.1%
4) 14.3%
5) 13.8%
6) 9.4%
7) 8.4%
8) 7.6%


Equity range for 1x pot bet with 1 opponent:
1) 100%
2) 100%
3) 100%
4)
5) 90%
6)
7) 80%
8)


tournament odds:
Opponents don't need to force opponents to break even in tournaments since they are willing to give up chips to fold their way up the money.
So if we risk 3 to gain 1.5 our opponents can fold more often since we are really risking some multiple of 3 to gain 1.5.

.80 tournament odds:
Opponents fold 2x pot 61.53845% of the time
Opponents fold 1x pot 44.444444% of the time
Opponents fold half pot 28.57142% of the time
Opponents fold 1/3rd pot 21.05% of the time

vs this range we need the following equity when called:
2x pot: 32%
1x pot: 26.67%
half pot: 20% equity
1/3 pot: 16% equity

1
Opponents fold 2x pot 66.66667% of the time
Opponents fold 1x pot 50% of the time
Opponents fold half pot 33.33333% of the time
Opponents fold 1/3rd pot 25% of the time

vs calling range (100%- above range) we need the following equity when called:
2x pot: 40%
1x pot: 33.333%%
half pot: 25% equity
1/3 pot: 20% equity

1.2
Opponents fold 2x pot 70.58823% of the time
Opponents fold 1x pot 54.54545% of the time
Opponents fold half pot 37.5% of the time
Opponents fold 1/3rd pot 28.57142% of the time

vs calling range (100%- above range) we need the following equity when called:
2x pot: 48%
1x pot: 40%
half pot: 30% equity
1/3 pot: 24% equity

1.4
Opponents fold 2x pot 73.68421% of the time
Opponents fold 1x pot 58.333333% of the time
Opponents fold half pot 41.17647% of the time
Opponents fold 1/3rd pot 31.81818% of the time

vs calling range (100%- above range) we need the following equity when called:
2x pot: 56%
1x pot: 46.6667%
half pot: 35% equity
1/3 pot: 28% equity

1.6
Opponents fold 2x pot 76.19047% of the time
Opponents fold 1x pot 61.53846% of the time
Opponents fold half pot 44.444444% of the time
Opponents fold 1/3rd pot 34.78260% of the time

vs calling range (100%- above range) we need the following equity when called:
2x pot: 64%
1x pot: 53.3333%
half pot: 40% equity
1/3 pot: 32% equity


Preflop defense .80 tournament odds 2x pot
1)38.46%
2)21.55%
3)14.94%
4)11.43%
5)9.25%
6)7.77%
7)6.70%
8)5.89%

Preflop defense .80 tournament odds 1x pot
1)55.56%
2)33.33%
3)23.69%
4)18.35%
5)14.97%
6)12.64%
7)10.94%
8)9.64%

Preflop defense .80 tournament odds 1/2 pot
1)71.42858%
2)46.55%
3)34.14%
4)26.89%
5)22.16%
6)18.84%
7)16.39%
8)14.50%

Preflop defense 1 tournament odds 2X pot
1)33.33%
2)18.15%
3)12.50%
4)9.53%
5)7.7%
6)6.46%
7)5.56%
8)4.89%

value vs this range:
1: 22+, A2+, K3+, Q8+, J9+, Q4s+, J7s+, T7s+, 98s, 87s
2: 22+, A4+, KT+,QJ,A2s+, K8s+,Q9s+,J9s+,T8s+,98s
3: 44+,A9o+,KQo,A7s+,KTs+,QTs+,JTs
4: 55+, AT+,KQ, A8s+, KTs+,QTs+,JTs
5: 77+, AQ+, ATs+, KQs
6: 88+, AK, AQs+
7: 99+, AK, AQs+
8: TT+, AK, AQs+

value plus bluffs:
1: Any 2 (minus some bad hands)(85%)
2:22+,A2s+,K2s+,Q2s+,J2s+,T6s+,96s+,85s+,74s+,63s+,52s+,42s+,32s,A7o+,K9o+,Q9o+,J9o+,T7o+,97o+,86o+,75o+,64o+,54o,43o,32o (52%)
3:22+,A2s+,K9s+,Q9s+,J9s+,T8s+,97s+,86s+,75s+,64s+,53s+,42s+,32s,A9o+,KTo+,QTo+,J9o+,T9o,98o
(29.4%)
4:22+,A2s+,K9s+,Q9s+,J9s+,T8s+,97s+,86s+,75s+,64s+,53s+,42s+,32s,AJo+,KJo+,QJo,JTo (23.2%)
5: 44+,A9s+,K9s+,Q9s+,J8s+,T8s+,97s+,86s+,75s+,64s+,53s+,43s,32s,AQo+,KQo (16.4%)
6: 55+,A2s+,KJs+,QTs+,J9s+,T8s+,97s+,86s+,76s,65s,54s,43s,AKo (13.9%) - sometimes fold the weaker hands
7: 66+,ATs+,KQs,QJs,JTs,T8s+,98s,87s,76s,65s,54s,43s,32s,AKo (9.8%) - sometimes fold weaker hands
8: 77+,AQs+,A5s,KQs,QJs,JTs,T9s,98s,87s,76s,65s,54s,AKo (8.1%) (sometimes fold weaker hands)

Preflop defense 1 tournament odds 1x pot
1)50%
2)29.29%
3)20.63%
4)15.91%
5)12.95%
6)10.91%
7)9.43%
8)8.30%

equity to have value: 33%
1:22+,A2o+,k2o+,q2+,j2o+,T3o+,95o+,85o+,75o+,64o+,53o+ (85.5%)
2:22+,A2o+,K2o+,
3:22+,A2o+,K2o+,Q8o+,J8o+,T9o+,98o,87o,76o,A2s+,K2s+,Q2s+,J4s+,T6s+,95s+,84s+,74s+,63s+,52s+,43s (55.4%)
4:22+,A2o+,K8o+,QTo+,A2s+,K2s+,Q4s+,J8s+,T7s+96s+,85s+,74s+,63s+,53s+,43s (38.8%)
5:22+,A2o+,KTo+,QTo+,A2s+,K2s+,Q8s+,J8s+,T7s+,96s+,85s+,75s+,64s+,53s+,43s (35.1%)
6:22+,A2o+,KTo+,QJo,A2s+,K2s+,Q8s+,J8s+,T8s+,97s+,86s,76s,65s,54s (32.1%)
7:22+,A2o+,Kto+,A2s+,K4s+,Qts+,J9s+,T8s+,97s+,87s,76s,65s,54s (29.4%)
8:22+,ATo+,KTo+,A2s+,K5s+,QTs+,JTs,T9s,98s

value+bluffs
1:100%
2:100%
3:100%
4:77.6%
5:70.2%
6:64.2%
7:58.8%
8:39.6%

Preflop defense 1 tournament odds 1/2 pot
1)66.67%
2)42.26%
3)30.66%
4)24.02%
5)19.73%
6)16.73%
7)14.53%
8)12.83%

equity needed vs range: 25%



1.2
Opponents fold 2x pot 70.58823% of the time
Opponents fold 1x pot 54.54545% of the time
Opponents fold half pot 37.5% of the time


Preflop defense 1.2 tournament odds 2x pot bet
1)29.41177%
2)15.98%
3)10.96%
4)8.34%
5)6.73%
6)5.64%
7)4.85%
8)4.26%

tournament odds adjusted equity needed:48%
1:55+,A8o+,KJo+,A6s+,KTs+,QJs
2:66+,AJo+,ATs+
3:99+,AQo+,AJs+
4:TT+,AKo+, AQs
5:TT+,AKo+,AKs
6:AKs,JJ+
7:AKs,JJ+
8:JJ+

value+bluffs
1:22+,A2s+,K8s+,Q9s+,J8s+,T7s+,96s+,85s+,75s+,64s+,53s+,42s+,32s,A7o+,KTo+,QTo+,JTo,T9o  (30.9%)
2:33+,A7s+,A5s,K9s+,Q9s+,JTs,T9s,98s,87s,76s,65s,54s,43s,AJo+,KQo (16%)
3:77+,A9s+,KTs+,QTs+,JTs,AJo+,KQo (10.6%)
4:77+,ATs+,KJs+,QJs,AQo+ (7.6%)
5:66+,A9s+,KQs,QJs,AKo (7.1%)
6:99+,AQs+,AKo (4.2%)
7:99+,AQs+,AKo (4.2%)
8:TT+,AQs+,AKo (3.8%)

Preflop defense 1.2 tournament odds 1x pot bet
1)45.454545%
2)26.15%
3)18.30%
4)14.06%
5)11.42%
6)9.61%
7)8.30%
8)7.30%


tournament odds adjusted equity needed:40%
1:22+,A2o+,K2o+,Q7o+,J8o+,t9o,A2s+,K2s+,Q2s+,J6s+,T7s+,97s+,87s,76s (48.4%)
2:22+,A2o+,K9o+,QTo+,A2s+,K3s+,Q9s+,JTs+ (30%)
3:22+,A2o+,KTo+,A2s+,K9s+,QJs (24.6%)
4:22+,A9o+,Kjo+,A2s+,KTs+ (16.7%)
5:22+,ATo+,KQo+,A9s+,KJs+ (12.5%)
6:33+,AJo+,ATs+,KQs (9.7%)
7:66+,AQo+,AJs+,KQs (7.1%)
8:88+,Aqo+,Ajs+ (5.9%)

value+bluffs
1:96.8%
2:60%
3:49.2%
4:33.4%
5:25%
6:19.4%
7:14.2%
8:11.8%


Preflop defense 1.2 tournament odds half pot bet
1)62.5%
2)38.76%
3)27.89%
4)21.75%
5)17.81%
6)15.08%
7)13.07%
8)11.54%
tournament odds adjusted equity needed:30%


Preflop defense 1.4 tournament odds 2x pot
1)26.31579
2)14.00%
3)9.68%
4)7.35%
5)5.92%
6)4.96%
7)4.27%
8)3.75%
tournament odds adjusted equity needed:56%

value
1:99+,AJ+,ATs+ (6.6%)
2:JJ+,AKo,AQs+ (3.3%)
3:JJ+,AKo,AKs (3%
4:QQ+,[AKs] (1.4%/1.7%)
5:QQ+ (1.4%)
6:QQ+ (1.4%)
7:QQ+ (1.4%)
8:QQ+ (1.4%)

value+bluffs
1:13.2%
2:6.6%
3:6%
4:2.8%/3.4%
5:2.8%
6:2.8%
7:2.8%
8:2.8%

Preflop defense 1.4 tournament odds 1x pot
1)41.6666667
2)23.62%
3)16.45%
4)12.61%
5)10.22%
6)8.59%
7)7.41%
8)6.52%

value
1:22+,A2o+,K9o+,QJo,A2s+,K7s+,Q9s+,JTs
2:55+,A9o+,KJo+,A5s,A7s+,KTs
3:77+,ATo+,KQo,A9s+,KQs
4:88+,AJo+,AJs+
5:99+,AQo+,AJs+
6:TTo+,AQo+,AQs+
7:TT+,AK,AQs+
8:TT+,AKo,AKs

value+bluffs
1:55.8%
2:27.2%
3:20%
4:13.6%
5:10.8%
6:9.4%
7:7.6%
8:7%


tournament odds adjusted equity needed:46.67%



Preflop defense 1.4 tournament odds half pot
1)58.82o353
2)35.83%
3)25.60%
4)19.89%
5)16.26%
6)13.75%
7)11.91%
8)10.50%

tournament odds adjusted equity needed:35%

J72 flop

Preflop defense 1.6 tournament odds 2x pot
1)23.80953
2)12.71%
3)8.67%
4)6.57%
5)5.29%
6)4.43%
7)3.81%
8)3.34%

tournament odds adjusted equity needed:64%
-
tournament odds adjusted equity needed:53.3%
Preflop defense 1.6 tournament odds 1x pot
1)38.46154
2)21.55%
3)14.94%
4)11.43%
5)9.25%
6)7.77%
7)6.70%
8)5.89%

tournament odds adjusted equity needed:53.3%

1:77+,A9o+,A8s+,KJs+
2:
3:
4:TT+,AKo+,AQs+
5:
6:
7:
8:JJ+

1:21.2%
2:
3:
4:7.6%
5:
6:
7:
8:3.6%



Preflop defense 1.6 tournament odds half pot
1)55.56%
2)33.33%
3)23.69%
4)18.35%
5)14.97%
6)12.64%
7)10.94%
8)9.64%

tournament odds adjusted equity needed:40%

Equity range for pot bet:

Equity range for half pot bet:



Flop equity vs
15%
with 60%
on J72
half pot bet
Aq+, AT, 22+,
23.7% with value
45% including bluffs


---------
Tournament odds divided by bubble factor equals your tournament odds.
pot odds/bubble factor=tournament odds
Bubble factor of 1.6
pot odds of 1.3125
Tournament odds of 1.3125/1.6=.8203125

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