[BluffTHIS!]

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They must have been total maniacs, and against the range of hands they are likely to have I would gladly play AQJJ with 3 to a suit for all my money.

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Despite saying above that Joe should have called the first raise, it is not correct to go allin with that type of non-AA/KK pair hand unless maybe headsup against a total lag and you didn't have more than your initial buyin. It would even be correct to fold KK if you strongly suspected AA. Because like Joe said, they do show up with AA or KK occasionally. If you want to gamble in that situation, then a better hand is any 4 in a row straight hand with at least one suit or maybe a 2 pair hand with at least one suit where the 2 pairs were nearby and could make a straight.