Perfect Pairs was invented in Australia and is mainly found on our Blackjack tables. The house edge is a function of the number of decks and the pay table, but, in practical terms, I'm not aware of any way to beat it. You would need to run simulations to get an answer to your question. Years ago I had a True Count of 12 towards the end of a six deck shoe and the pairs were coming out very regularly...but it only happened once.
Bookmarks