It seems to me that the game is a bit like tic-tac-toe. If it is played correctly by both sides, no one will ever win.
The only winning combo I;ve discovered in which the opponent could not prevent a win went something like this:
Turn 1) Player 1 picks "1"
Turn 2) Player 2 picks "2"
Turn 3) Player 1 picks "3"
Turn 4) Player 2 picks "4"
Turn 5) Player 1 picks "5"
Turn 6) Player 2 picks "7" (first forced move to counter player 1)
Turn 7) Player 1 picks "9" (and wins with "9" "5" "1" combo)
This sequence will be a win for player 1 everytime as long as the first 5 picks are the same (order does not matter). This seems highly unlikely, especially against a real person. The counter to this strategy seems simple enough -> Player 2 picks a "high value" card on turn 2.
I'm curious to see if there actually is a winning strategy.
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