K3-SB against BB + Limper

[bravos1]

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Yeah, check the turn. Which free cards are we afraid of giving away?
And why does everybody assume BB is so crappy that he calls 2 streets, probably 3, with worse than top pair?

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How about a 3,4,7,8, any heart (although unlikely)? What happens when he checks behind and one of these scare cards hits? Do you check again? What if he bets the turn? Do you fold?

If you are not willing to bet when you hit top pair in this situation, then you MUST fold pre-flop (I know this is not your hand, but you said nothing about PF play, so I assume that you think it is fine).