The first one is gross because it's pretty deep, but I still have a hard time laying down an overpair heads-up. There were big decisions on the flop and turn... after that I have to call the river. Villain is 37/15 with a 3bet of 8 and an aggression factor of 6.5 over 52 hands (I had way less hands on him at the time and wasn't aware of the high AF).

PokerStars No-Limit Hold'em, $0.25 BB (2 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

SB ($87.45)
Hero (Button) ($43.85)

Preflop: Hero is Button with K, K
Hero raises to $0.75, SB calls $0.50

Flop: ($1.50) 3, Q, 8 (2 players)
SB bets $1.25, Hero raises to $3, SB raises to $6.50, Hero calls $3.50

Turn: ($14.50) J (2 players)
SB bets $11, Hero calls $11

River: ($36.50) 8 (2 players)
SB bets $16, Hero calls $16

Total pot: $68.50 | Rake: $1


On this second one, I flopped the nuts and then ran into the worst possible river card. I timed down trying to figure out what I could beat, and I came up with JT, J9, and maybe AA, AT, or KQ.

PokerStars No-Limit Hold'em, $0.25 BB (5 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

Button ($26.70)
SB ($26.20)
Hero (BB) ($58.55)
UTG ($29.70)
MP ($4.45)

Preflop: Hero is BB with A, J
2 folds, Button raises to $0.75, 1 fold, Hero calls $0.50

Flop: ($1.60) 10, K, Q (2 players)
Hero bets $1.50, Button calls $1.50

Turn: ($4.60) 8 (2 players)
Hero bets $5, Button calls $5

River: ($14.60) 10 (2 players)
Hero checks, Button bets $10, Hero calls $10

Total pot: $34.60 | Rake: $1.65

Code:
Board: Tc Kh Qh 8d Th
	equity 	win 	tie 	      pots won 	pots tied	
Hand 0: 	48.148%  	43.21% 	04.94% 	            35 	        4.00   { AsJc }
Hand 1: 	51.852%  	46.91% 	04.94% 	            38 	        4.00   { QQ+, TT, AJs-ATs, Ah9h, Ah8h, Ah7h, Ah6h, Ah5h, Ah4h, Ah3h, Ah2h, KQs, KTs, QTs, J9s+, Jh8h, 9h8h, 9h7h, 8h7h, 8h6h, 7h6h, 7h5h, 6h5h, 5h4h, AJo-ATo, KQo, KTo, QTo, J9o+ }
I didn't realize until I stoved it that there aren't a ton of hearts in his range, so I'm most worried about TT, QQ, KK, KT, and QT. I think a lot of those hands (and even a lot of the Axhh hands) raise the flop. So I'm in pretty good shape after all. Also, if AK, AQ, or a bluff is ever in his range, I'm ahead here.