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You're getting 16-1. At that price even a three-out draw is worth calling for, and you have that in your overcard and backdoors. Since BB was the aggressor, you can probably safely assume it won't be raised behind you.

Call and drop on the turn if you don't catch an A, Q, J, maybe a T (it's probably no good, though), or a diamond.

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what range do you put unknown BB 3-bettor on when he bets out on the K high flop?