Online card counting

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I was messing around the other day and found a casino with a very odd setup for blackjack. You have a live video and a dealer who is dealing from a shoe. It seems to me that it would be very easy to count cards in this situation. A clever person might actually be able to set up a nice spreadsheet or program to keep track of every last card.

The min bet is $5 and the max is $300. Blackjack pays 3:2, dealer does not check for blackjack with a ten up, dealer stands on soft 17. Given these rules could card counting actually be profitable? Furthermore, should I try it?