Question 1: You are holding KQ. What is your preflop equity against an opponent who has 33? How does the equity change on this flop: J53?
K :spade:Q
vs 3 :diamond:3 
50.78%
K :spade:Q
vs 3 :diamond:3
post-flop J :spade:5 :diamond:3 
26.46%
Question 2: What would you do in the following hand?
No Limit hold'em $2 (9-handed)
Players and stacks:
UTG: $2.00
UTG+1: $2.08
MP1: $1.92
MP2: $1.00
MP3: $3.06
CO: (Hero) $2.08
BU: $2.00
SB: $2.00
BB: $1.24
Preflop: Hero is CO with AJ
5 folds, Hero raises to $0.08, BU calls $0.08, SB folds, BB calls $0.06.
Flop: ($0.25) 263 (3 players)
BB checks, Hero checks, BU checks.
Turn: ($0.25) 5 (3 players)
BB checks, Hero bets $0.22, BU raises to $0.44, BB folds, Hero...?
I would consider the situation first with the information I have and the time limit given to me.
What I know
- I have a nut flush draw having an AcJc
- 9 clubs are left, giving me a 16% to hit a nut flush
- No aces or jacks, giving me 12% chance to hit a top pair on river.
-In total i have a 28% chance of hitting something
- Opponent called pre-flop, I would place him on a range 22+, KQ+, AT+ for my limit.
-I need to invested 25+22 = 47c, I need to call or raise to stay in the game giving me 1:2 pot odds 33%+
Conclusion
I would call and hope to improve my hand since I have a lot of outs, The odds are 1:2 giving me a call range of 33% and i have 28% chance to hit a hand. 16% to hit a nut flush. If i hit a nut flush I can count implied odds giving me a huge pay off/ if i hit a top pair i can represent a strong hand but not call an all-in or very large raise representing a straight.
1)hit flush go for value
2)hit a top pair, either a)small bet vs aggresive opponent, or b)check vs passive opponent
a) aggresive opponent will call and pay me off more or re-raising telling me he most likely has a set or straight.
b)check vs a passive who will check back unless he has s straight most likely, then fold. This saves me money i dont have to bet on a top pair.
3) hit nothing, check/fold
Question 3: Do you have questions about your postflop play? Post your hand for evaluation.
In equilab, Post-flop. Is the equity the % we should be raising/calling @? Or does it just tell us how far/behind we are for hand strength. I thought we make our decisions on the rule of 4 and 2 + our guess on implied odds.
Is equity = rule 4+2+implied odds? or is it the strength of our hand vs our opponents given range per scenerio telling us if we should raise/call/fold to the pot odds. Thanks!