PokerStars No-Limit Hold'em, $0.02 BB (9 handed) FTR converter on zerodivide.cx

Hero ($5.04)
UTG ($1.90)
UTG+1 ($3.05)
MP1 ($1.95)
MP2 ($3.26)
MP3 ($2.13)
CO ($1.48)
Button ($3.56)
SB ($1.57)

Preflop: Hero is BB with 2, A.
2 folds, MP1 calls $0.02, MP2 calls $0.02, MP3 calls $0.02, 1 fold, Button calls $0.02, SB completes, Hero checks.

Flop: ($0.12) 9, A, 2 (6 players)
SB checks, Hero bets $0.08, MP1 folds, MP2 raises to $0.16, MP3 folds, Button folds, SB folds, Hero raises to $0.5, MP2 calls $0.34.

Turn: ($1.12) K (2 players)
Hero bets $0.6, MP2 calls $0.60.

River: ($2.32) 9 (2 players)
Hero bets $0.5, MP2 calls $0.50.

Final Pot: $3.32

He turned over A9 for the full house. My bet on the river was a blocking bet because i thought AA99K would split. I was planning to push the river before i paired. Was that correct? New table so no reads at all.