777 pays 2:1?

[Jack_Black]

I know this doesn't occur very often. but is it a +EV move to always misplay 77 in the hopes of getting another 7? The game I'm referring to has LS, and 777 only pays 2:1 if the hand wins. That is, 777 isn't an automatic winner.

Or maybe at what count is it okay to misplay 777 until LS becomes more +EV?

 

[creeping panther]

Jack

I know this doesn't occur very often. but is it a +EV move to always misplay 77 in the hopes of getting another 7? The game I'm referring to has LS, and 777 only pays 2:1 if the hand wins. That is, 777 isn't an automatic winner.

Or maybe at what count is it okay to misplay 777 until LS becomes more +EV?

Jack

Unless on a dd or sd and counting 7's I would not misplay the hand shooting for a 7, especially 2.1,,,I have seen places pay far more than that for 777.

CP

 

[assume_R]

You can figure out the index yourself if you have CVData. This method is from a discussion a while back with AutomaticMonkey, so if he sees any errors feel free to chime in

Anyway, you have a 2/49 = 4% chance of getting an additional bonus. That would be on single deck because you have your 2 7's and the dealer has an upcard. So there are 49 cards left, 2 of which are 7's. If it's infinite deck, use 4/52. If it's somewhere between single deck and infinite deck, just plug the numbers in yourself Also, if you side count 7's, and know exactly how many are left, you can come up with accurate numbers on the spot.

Now this is excluding pushes on 21. So using cvindex, with "Full Report", come up with the change in EV (the last column) for each index for the 7,7 vs. whatever. Normally, your split index would be where the (EV for splitting) - (EV for hitting) > 0%. However, due to the bonus, your split index would now be where (EV for splitting) - (EV for hitting) > 4%.

So your Split index would increase slightly. Maybe not even a TC, or maybe a few TC's! Who knows - depends on your game and rules, etc.

I think I got that all correct

 

[suicyco maniac]

http://wizardofodds.com/blackjack/appendix11.html

 

[assume_R]

http://wizardofodds.com/blackjack/appendix11.html

Good find. That describes what to do in terms of basic strategy, which wouldn't change unless it was like a 4:1 bonus at least. However, I was assuming the OP wanted to be able to come up with custom indices for his 7-7 hand, which is what I was describing how to do.