# Hit or stay on 16

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# Hit or stay on 16

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Hit or stay on 16

What is the mathematical statistic of hitting 16 against 7 through Ace?

What percent will you win or push by hitting it?

What percent will you win or push by not hitting it?

Can anyone direct me to a site which publishes such stats?

What is the mathematical statistic of hitting 16 against 7 through Ace?

What percent will you win or push by hitting it?

What percent will you win or push by not hitting it?

Can anyone direct me to a site which publishes such stats?

There ya go, i only posted the single deck values and S17, but you can get them for any number of cards

http://code.google.com/p/blackjack-combinatorial-analyzer/downloads/list

10,6 vs 10 is a very close call especially for mulitple decks for examples for 6D, S17

What is the mathematical statistic of hitting 16 against 7 through Ace?

What percent will you win or push by hitting it?

What percent will you win or push by not hitting it?

Can anyone direct me to a site which publishes such stats?

You push 0% by not hitting. I hope that helps.

What is the mathematical statistic of hitting 16 against 7 through Ace?

What percent will you win or push by hitting it?

What percent will you win or push by not hitting it?

Can anyone direct me to a site which publishes such stats?

Its not even close. Just trust correct basic strategy, which we are guessing you do not know. zg

Not the %, but more importantly the EV.

http://wizardofodds.com/blackjack/appendix1.html

What is the mathematical statistic of hitting 16 against 7 through Ace?

What percent will you win or push by hitting it?

What percent will you win or push by not hitting it?

Can anyone direct me to a site which publishes such stats?

Just follow the basic strategy charts. What makes the difference what the odds are of the dealer busting? it’s all calculated in basic strat. If you stand on a 16, you’re not betting that’s enough to beat the dealer, you’re betting the dealer will bust. Your odds of winning by standing on a 16 vs. a dealers 7, are the exact same odds of winning by standing on an 11 (5-6). You can’t win unless the dealer bust.

Pushing is impossible by standing on 16

Just follow the basic strategy charts. What makes the difference what the odds are of the dealer busting? it’s all calculated in basic strat. If you stand on a 16, you’re not betting that’s enough to beat the dealer, you’re betting the dealer will bust. Your odds of winning by standing on a 16 vs. a dealers 7, are the exact same odds of winning by standing on an 11 (5-6). You can’t win unless the dealer bust.

Pushing is impossible by standing on 16

Also the reason you sometimes would hit on a 16 vs dealer 10 is so you will lose less, not to win.

Just follow the basic strategy charts. What makes the difference what the odds are of the dealer busting? it’s all calculated in basic strat. If you stand on a 16, you’re not betting that’s enough to beat the dealer, you’re betting the dealer will bust.

Your odds of winning by standing on a 16 vs. a dealers 7, are the exact same odds of winning by standing on an 11 (5-6).You can’t win unless the dealer bust.Pushing is impossible by standing on 16

I am sorry but this is not true, the odds are different

16 vs 6

player’s probabilities for standing

p_-1 = 0.589511449401

p_0 = 0

p_+1 = 0.410488550599p_+1.5 = 0

EV for standing= -0.179022898802 ± 0.983844907343

***********************************************

11 vs 5

player’s probabilities for standing

p_-1 = 0.566326835062

p_0 = 0

p_+1= 0.433673164938p_+1.5 = 0

EV for standing= -0.132653670123 ± 0.991162450763

Basic strategy takes into account all possible combinations of playerHand/dealerHand , bust rate of the dealer is mythical figure used by scam system promoters

I am sorry but this is not true, the odds are different

16 vs 6

player’s probabilities for standing

p_-1 = 0.589511449401

p_0 = 0

p_+1 = 0.410488550599p_+1.5 = 0

EV for standing= -0.179022898802 ± 0.983844907343

***********************************************

11 vs 5

player’s probabilities for standing

p_-1 = 0.566326835062

p_0 = 0

p_+1= 0.433673164938p_+1.5 = 0

EV for standing= -0.132653670123 ± 0.991162450763

Basic strategy takes into account all possible combinations of playerHand/dealerHand , bust rate of the dealer is mythical figure used by scam system promoters

I hope you realize that you did 11 and 16 v 5 and 6 respectively, not 7 as was the situation in question. Why didn’t you site 11 and 16 against the same upcard?

I hope you realize that you did 11 and 16 v 5 and 6 respectively, not 7 as was the situation in question. Why didn’t you site 11 and 16 against the same upcard?

I noticed that too, I think some people look way too deep for some kind of a quotion, or mathmatic formula to make something easy look complex. The dealer is either going to bust or not, that’s why counters count, and understand the best times to do certain things. It doesn’t matter if you have 4,7,9,12,or 16, you can’t win if the dealer doesn’t bust. There is a very long and complicated equation that explains why, and how gravity affects objects of all sizes, shapes, and weight. The bottom line is, if you throw a ball in the sky, it is going to drop.

I hope you realize that you did 11 and 16 v 5 and 6 respectively, not 7 as was the situation in question. Why didn’t you site 11 and 16 against the same upcard?

It doesnt make a difference it is still diferrent see below:

11 vs 6

player’s probabilities for standing

p_-1 = 0.574852433669

p_0 = 0

p_+1= 0.425147566331

p_+1.5 = 0

EV for standing= -0.149704867338 ± 0.988730728103

*****************************

16 vs 7

player’s probabilities for standing

p_-1 = 0.741662210131

p_0 = 0

p_+1= 0.258337789869

p_+1.5 = 0

EV for standing= -0.483324420261 ± 0.875441320009

the odds will always be diferrent because they depend on BOTH the players’s hand and the dealer’s upCard

You push 0% by not hitting. I hope that helps.

Not always true. Depends on how alert the dealer is.

It doesnt make a difference it is still diferrent see below:

11 vs 6

player’s probabilities for standing

p_-1 = 0.574852433669

p_0 = 0

p_+1= 0.425147566331

p_+1.5 = 0

EV for standing= -0.149704867338 ± 0.988730728103

*****************************

16 vs 7

player’s probabilities for standing

p_-1 = 0.741662210131

p_0 = 0

p_+1= 0.258337789869

p_+1.5 = 0

EV for standing= -0.483324420261 ± 0.875441320009

the odds will always be diferrent because they depend on BOTH the players’s hand and the dealer’s upCard

You did it again, you used different dealer upcards for the 2 situations. You are comparing apples to oranges.

What is the mathematical statistic of hitting 16 against 7 through Ace?

What percent will you win or push by hitting it?

What percent will you win or push by not hitting it?

Can anyone direct me to a site which publishes such stats?

Hitting a 16 vs a 7 is significantly better than staying. Hitting a 16 vs a 10 is only marginally better.

With 16 you are going to lose most of your hands no matter how you play it you are going to bust the hand 62% if you hit it. But the 38% of the time that you draw a hand you will be much better off especially if drawing against a 7.

If you don’t hit 16 against a 7-A ace the dealer will make a hand 75% of the time on average with those hands and beat you 80% with an ace. You will win 20%-25% of the time if you don’t hit. There will be a zero percent chance of a push because the dealer must draw to 17 or higher.

You did it again, you used different dealer upcards for the 2 situations. You are comparing apples to oranges.

Ah, I misunderstood the poster’s point i thought he meant 11 vs 5 or 6, he meant 11 composed of a 5 and 6. Nevertheless, the odds will still be different because as i have mentioned they depend on BOTH the dealer upCard and the player hand.

11 vs 7

player’s probabilities for standing

p_-1 = 0.744468761037

p_0 = 0

p_+1= 0.255531238963

p_+1.5 = 0

EV for standing= -0.488937522075 ± 0.872318806118

*********************************************************

16 vs 7

player’s probabilities for standing

p_-1 = 0.741662210131

p_0 = 0

p_+1= 0.258337789869

p_+1.5 = 0

EV for standing= -0.483324420261 ± 0.875441320009

There is no systematic way to “explain” optimum decisions. Some playing decisions will sometime look weird, that is because most of the time we are overlooking some cases. A combinatorial analysis takes care of that by enumerating all possible outcomes.

Ah, I misunderstood the poster’s point i thought he meant 11 vs 5 or 6, he meant 11 composed of a 5 and 6. Nevertheless, the odds will still be different because as i have mentioned they depend on BOTH the dealer upCard and the player hand.

11 vs 7

player’s probabilities for standing

p_-1 = 0.744468761037

p_0 = 0

p_+1= 0.255531238963

p_+1.5 = 0

EV for standing= -0.488937522075 ± 0.872318806118

*********************************************************

16 vs 7

player’s probabilities for standing

p_-1 = 0.741662210131

p_0 = 0

p_+1= 0.258337789869

p_+1.5 = 0

EV for standing= -0.483324420261 ± 0.875441320009

There is no systematic way to “explain” optimum decisions. Some playing decisions will sometime look weird, that is because most of the time we are overlooking some cases. A combinatorial analysis takes care of that by enumerating all possible outcomes.

Thanks. I knew there would be some difference but also knew it would be fairly insignificant. Your numbers confirm this.