Quote: chrisjs87What if you were allowed to surrender after switch?
Personally, I think that would make the game +EV, but I don't have the math skills to prove it.
Think about it, though; on roughly 1/4 - 1/5 of your hands, you could make a good one and a bad one, and save 1/2 the bet on the bad one.
Quote: beachbumbabsPersonally, I think that would make the game +EV, but I don't have the math skills to prove it.
Think about it, though; on roughly 1/4 - 1/5 of your hands, you could make a good one and a bad one, and save 1/2 the bet on the bad one.
My thoughts as well. If no one here can help I'll probably just try and hash out the possibilities by hand using the return tables on the Wizards site. As far as I know, those tables are for a H17 game though, correct?
Quote: chrisjs87...As far as I know, those tables are for a H17 game though, correct?
Yes, the table at the Wizard's site are for H17 (6 decks.)
For H17, 6 decks, and switched blackjack counts as 21, the Wizard gets a house edge of 0.58%. For infinite decks with the same rules, I get an edge of 0.71%. That's a difference of 0.13% between the two results.
For S17 and allowing late surrender on individual hands before and after switching, I get an edge of 0.17% for infinite decks. Subtracting 0.13% from this would suggest that the house edge is only 0.04% for the 6 deck game.
Quote: ChesterDogYes, the table at the Wizard's site are for H17 (6 decks.)
For H17, 6 decks, and switched blackjack counts as 21, the Wizard gets a house edge of 0.58%. For infinite decks with the same rules, I get an edge of 0.71%. That's a difference of 0.13% between the two results.
For S17 and allowing late surrender on individual hands before and after switching, I get an edge of 0.17% for infinite decks. Subtracting 0.13% from this would suggest that the house edge is only 0.04% for the 6 deck game.
At the risk of asking too much, do you happen to have the raw data you used to figure this out? If you have expected returns post-switch for a S17 game that would be extremely helpful
Quote: chrisjs87Quote: ChesterDogYes, the table at the Wizard's site are for H17 (6 decks.)
For H17, 6 decks, and switched blackjack counts as 21, the Wizard gets a house edge of 0.58%. For infinite decks with the same rules, I get an edge of 0.71%. That's a difference of 0.13% between the two results.
For S17 and allowing late surrender on individual hands before and after switching, I get an edge of 0.17% for infinite decks. Subtracting 0.13% from this would suggest that the house edge is only 0.04% for the 6 deck game.
At the risk of asking too much, do you happen to have the raw data you used to figure this out? If you have expected returns post-switch for a S17 game that would be extremely helpful
Below is a table of my infinite-deck S17 EV's in the style of the Wizard's 6-deck H17 Switch Appendix 1. And, of course, any hand in the table with an EV less than -0.5 should be surrendered.
PLAYER | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | A |
---|---|---|---|---|---|---|---|---|---|---|
5 | -0.269 | -0.188 | -0.153 | -0.117 | -0.087 | -0.157 | -0.223 | -0.299 | -0.346 | -0.305 |
6 | -0.282 | -0.201 | -0.165 | -0.127 | -0.099 | -0.188 | -0.251 | -0.324 | -0.369 | -0.330 |
7 | -0.252 | -0.170 | -0.135 | -0.100 | -0.057 | -0.116 | -0.255 | -0.326 | -0.360 | -0.343 |
8 | -0.165 | -0.086 | -0.054 | -0.022 | 0.029 | 0.033 | -0.105 | -0.253 | -0.292 | -0.231 |
9 | -0.069 | 0.007 | 0.037 | 0.065 | 0.143 | 0.122 | 0.052 | -0.096 | -0.197 | -0.101 |
10 | 0.056 | 0.216 | 0.272 | 0.327 | 0.402 | 0.263 | 0.166 | 0.072 | -0.019 | 0.046 |
11 | 0.168 | 0.325 | 0.377 | 0.429 | 0.493 | 0.334 | 0.230 | 0.115 | 0.075 | 0.107 |
12 | -0.355 | -0.301 | -0.279 | -0.258 | -0.231 | -0.246 | -0.303 | -0.369 | -0.410 | -0.374 |
13 | -0.401 | -0.349 | -0.306 | -0.260 | -0.241 | -0.300 | -0.353 | -0.414 | -0.452 | -0.419 |
14 | -0.444 | -0.349 | -0.306 | -0.260 | -0.241 | -0.350 | -0.399 | -0.456 | -0.492 | -0.460 |
15 | -0.444 | -0.349 | -0.306 | -0.260 | -0.241 | -0.397 | -0.442 | -0.495 | -0.528 | -0.499 |
16 | -0.444 | -0.349 | -0.306 | -0.260 | -0.241 | -0.440 | -0.482 | -0.531 | -0.562 | -0.535 |
17 | -0.304 | -0.214 | -0.175 | -0.138 | -0.075 | -0.171 | -0.442 | -0.479 | -0.476 | -0.523 |
18 | -0.030 | 0.052 | 0.081 | 0.107 | 0.196 | 0.335 | 0.046 | -0.239 | -0.235 | -0.146 |
19 | 0.235 | 0.308 | 0.329 | 0.347 | 0.409 | 0.551 | 0.534 | 0.231 | 0.007 | 0.232 |
20 | 0.489 | 0.554 | 0.566 | 0.578 | 0.617 | 0.709 | 0.732 | 0.702 | 0.498 | 0.610 |
A,2 | -0.085 | -0.019 | 0.011 | 0.041 | 0.076 | 0.077 | 0.011 | -0.076 | -0.144 | -0.088 |
A,3 | -0.120 | -0.043 | -0.012 | 0.019 | 0.053 | 0.035 | -0.028 | -0.112 | -0.177 | -0.124 |
A,4 | -0.143 | -0.065 | -0.033 | -0.001 | 0.032 | -0.005 | -0.067 | -0.148 | -0.210 | -0.159 |
A,5 | -0.165 | -0.085 | -0.052 | -0.019 | 0.013 | -0.046 | -0.105 | -0.183 | -0.242 | -0.193 |
A,6 | -0.145 | -0.065 | -0.033 | -0.001 | 0.082 | 0.003 | -0.120 | -0.193 | -0.241 | -0.215 |
A,7 | -0.030 | 0.052 | 0.081 | 0.110 | 0.207 | 0.335 | 0.046 | -0.145 | -0.188 | -0.129 |
A,8 | 0.235 | 0.308 | 0.329 | 0.347 | 0.409 | 0.551 | 0.534 | 0.231 | 0.007 | 0.232 |
A,9 | 0.489 | 0.554 | 0.566 | 0.578 | 0.617 | 0.709 | 0.732 | 0.702 | 0.498 | 0.610 |
BJ(switched) | 0.731 | 0.789 | 0.794 | 0.799 | 0.816 | 0.861 | 0.870 | 0.883 | 0.906 | 0.877 |
BJ(natural) | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 |
A,A | 0.168 | 0.325 | 0.377 | 0.429 | 0.493 | 0.334 | 0.230 | 0.115 | 0.066 | 0.018 |
2,2 | -0.255 | -0.175 | -0.141 | -0.097 | -0.005 | -0.112 | -0.196 | -0.274 | -0.323 | -0.280 |
3,3 | -0.282 | -0.201 | -0.165 | -0.126 | -0.040 | -0.170 | -0.251 | -0.324 | -0.369 | -0.330 |
4,4 | -0.165 | -0.086 | -0.054 | -0.022 | 0.029 | 0.033 | -0.105 | -0.253 | -0.292 | -0.231 |
5,5 | 0.056 | 0.216 | 0.272 | 0.327 | 0.402 | 0.263 | 0.166 | 0.072 | -0.019 | 0.046 |
6,6 | -0.355 | -0.301 | -0.279 | -0.186 | -0.098 | -0.246 | -0.303 | -0.369 | -0.410 | -0.374 |
7,7 | -0.444 | -0.292 | -0.206 | -0.120 | -0.003 | -0.185 | -0.399 | -0.456 | -0.492 | -0.460 |
8,8 | -0.293 | -0.093 | -0.014 | 0.063 | 0.190 | 0.182 | -0.152 | -0.501 | -0.562 | -0.450 |
9,9 | -0.030 | 0.052 | 0.105 | 0.174 | 0.268 | 0.335 | 0.122 | -0.183 | -0.235 | -0.146 |
10,10 | 0.489 | 0.554 | 0.566 | 0.578 | 0.617 | 0.709 | 0.732 | 0.702 | 0.498 | 0.610 |
Quote: ChesterDogQuote: chrisjs87Quote: ChesterDogYes, the table at the Wizard's site are for H17 (6 decks.)
For H17, 6 decks, and switched blackjack counts as 21, the Wizard gets a house edge of 0.58%. For infinite decks with the same rules, I get an edge of 0.71%. That's a difference of 0.13% between the two results.
For S17 and allowing late surrender on individual hands before and after switching, I get an edge of 0.17% for infinite decks. Subtracting 0.13% from this would suggest that the house edge is only 0.04% for the 6 deck game.
At the risk of asking too much, do you happen to have the raw data you used to figure this out? If you have expected returns post-switch for a S17 game that would be extremely helpful
Below is a table of my infinite-deck S17 EV's in the style of the Wizard's 6-deck H17 Switch Appendix 1. And, of course, any hand in the table with an EV less than -0.5 should be surrendered.
PLAYER 2 3 4 5 6 7 8 9 10 A 5 -0.269 -0.188 -0.153 -0.117 -0.087 -0.157 -0.223 -0.299 -0.346 -0.305 6 -0.282 -0.201 -0.165 -0.127 -0.099 -0.188 -0.251 -0.324 -0.369 -0.330 7 -0.252 -0.170 -0.135 -0.100 -0.057 -0.116 -0.255 -0.326 -0.360 -0.343 8 -0.165 -0.086 -0.054 -0.022 0.029 0.033 -0.105 -0.253 -0.292 -0.231 9 -0.069 0.007 0.037 0.065 0.143 0.122 0.052 -0.096 -0.197 -0.101 10 0.056 0.216 0.272 0.327 0.402 0.263 0.166 0.072 -0.019 0.046 11 0.168 0.325 0.377 0.429 0.493 0.334 0.230 0.115 0.075 0.107 12 -0.355 -0.301 -0.279 -0.258 -0.231 -0.246 -0.303 -0.369 -0.410 -0.374 13 -0.401 -0.349 -0.306 -0.260 -0.241 -0.300 -0.353 -0.414 -0.452 -0.419 14 -0.444 -0.349 -0.306 -0.260 -0.241 -0.350 -0.399 -0.456 -0.492 -0.460 15 -0.444 -0.349 -0.306 -0.260 -0.241 -0.397 -0.442 -0.495 -0.528 -0.499 16 -0.444 -0.349 -0.306 -0.260 -0.241 -0.440 -0.482 -0.531 -0.562 -0.535 17 -0.304 -0.214 -0.175 -0.138 -0.075 -0.171 -0.442 -0.479 -0.476 -0.523 18 -0.030 0.052 0.081 0.107 0.196 0.335 0.046 -0.239 -0.235 -0.146 19 0.235 0.308 0.329 0.347 0.409 0.551 0.534 0.231 0.007 0.232 20 0.489 0.554 0.566 0.578 0.617 0.709 0.732 0.702 0.498 0.610 A,2 -0.085 -0.019 0.011 0.041 0.076 0.077 0.011 -0.076 -0.144 -0.088 A,3 -0.120 -0.043 -0.012 0.019 0.053 0.035 -0.028 -0.112 -0.177 -0.124 A,4 -0.143 -0.065 -0.033 -0.001 0.032 -0.005 -0.067 -0.148 -0.210 -0.159 A,5 -0.165 -0.085 -0.052 -0.019 0.013 -0.046 -0.105 -0.183 -0.242 -0.193 A,6 -0.145 -0.065 -0.033 -0.001 0.082 0.003 -0.120 -0.193 -0.241 -0.215 A,7 -0.030 0.052 0.081 0.110 0.207 0.335 0.046 -0.145 -0.188 -0.129 A,8 0.235 0.308 0.329 0.347 0.409 0.551 0.534 0.231 0.007 0.232 A,9 0.489 0.554 0.566 0.578 0.617 0.709 0.732 0.702 0.498 0.610 BJ(switched) 0.731 0.789 0.794 0.799 0.816 0.861 0.870 0.883 0.906 0.877 BJ(natural) 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 A,A 0.168 0.325 0.377 0.429 0.493 0.334 0.230 0.115 0.066 0.018 2,2 -0.255 -0.175 -0.141 -0.097 -0.005 -0.112 -0.196 -0.274 -0.323 -0.280 3,3 -0.282 -0.201 -0.165 -0.126 -0.040 -0.170 -0.251 -0.324 -0.369 -0.330 4,4 -0.165 -0.086 -0.054 -0.022 0.029 0.033 -0.105 -0.253 -0.292 -0.231 5,5 0.056 0.216 0.272 0.327 0.402 0.263 0.166 0.072 -0.019 0.046 6,6 -0.355 -0.301 -0.279 -0.186 -0.098 -0.246 -0.303 -0.369 -0.410 -0.374 7,7 -0.444 -0.292 -0.206 -0.120 -0.003 -0.185 -0.399 -0.456 -0.492 -0.460 8,8 -0.293 -0.093 -0.014 0.063 0.190 0.182 -0.152 -0.501 -0.562 -0.450 9,9 -0.030 0.052 0.105 0.174 0.268 0.335 0.122 -0.183 -0.235 -0.146 10,10 0.489 0.554 0.566 0.578 0.617 0.709 0.732 0.702 0.498 0.610
You're the man! Thanks.