Heads-up.
Player 1 has K♥ Q⋄
Player 2 has 4♥ and 3♥
On the board: Q♥ 5♠ 6♥ 3⋄
Which player has the best statistical hand in this situation?
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Player 1 has K♥ Q⋄
Player 2 has 4♥ and 3♥
On the board: Q♥ 5♠ 6♥ 3⋄
Which player has the best statistical hand in this situation?
Player 1 is ahead with a pair of queens
Player 2 has pair of 3s and must improve to win
52 - 8 = 44 cards out
a flush, straight, pair, or trips for player 2 to improve
8 hearts + 6 straight + 3 pair + 2 trips = 19 outs
Player 2 win = 19/44 = 0.4318
Player 1 win = 1 - 19/44 = 0.5682
Player 1 has a pair of Queens and is ahead.
Player 2 has a pair of 3s, is four to a heart flush, and has an open-ended straight draw.
Player 2 has 19 outs (8 cards can make the flush, 6 will complete the straight, three possibilities to make two paid, 2 possibilities to make trips).
8 cards are known, leaving 44 cards unknown. 19 of these cards will give player 2 the win, the rest will result in player 1 winning.
Player 1 chance of winning: 56.8%
Player 2 chance of winning: 43.2%