Three Card 16 vs 10

(Almost) everyone knows that you should surrender a 16 against a 10, or hit if that option isn't available.
But what about a three-card 16? Single deck compositional basic strategy is already known, but I could not find any information about 4-8 decks which is what I usually find. I did some analysis last night and forgot to post about it.

If the dealer hits soft 17 you stand except that should hit A+6+9, 2+6+8, 3+3+10, 3+6+7, 4+6+6, and when you have exactly 8 decks you should also hit 2+4+10.

These facts are true for both hitting and standing on Soft 17, I checked.

I hope this will be useful to someone here - personally I am starting to play with compositional basic strategy to gain a tiny edge (so far, not hitting 3-card 16s has actually helped me, but now I know which ones to hit).

For single-deck games, Mental of this board has listed all possible 16 vs. T hands. Here is the link.

https://wizardofvegas.com/forum/gambling/blackjack/39079-blackjack-odds-of-winning-chart/#post924107

Here is my summary: Player stands on any hand that contains a 5; player hits only a few hands that contain a 6.

Let me list out all possible 3-card 16 hands

Stand: 259, 277, 349, 358, 448, 457, 556, 24T, 33T, A5T, A78.
Hit: 268, 367, 466, A69.

Quote: harris

(Almost) everyone knows that you should surrender a 16 against a 10, or hit if that option isn't available.
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My calculated strategy is, in a single-deck or double-deck game, stand on a hard 16 against a 10. Only hit with 3 or more decks.

I look at the table and if no 4s or 5s are out,will hit.

Quote: ThatDonGuy

Quote: harris

(Almost) everyone knows that you should surrender a 16 against a 10, or hit if that option isn't available.
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My calculated strategy is, in a single-deck or double-deck game, stand on a hard 16 against a 10. Only hit with 3 or more decks.
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Your strategy is incorrect, I imagine it must be infinite deck and it lacks sufficient granularity.

The most common hard 16 hand is T-6; for T-6 vs T one should HIT (or surrender). The removal of two Tens and a Six from the deck - three bust cards - is decisive. One deck, two decks, six decks eight decks. The universal basic strategy for 16 vs T is to HIT and this thread is about reducing this top-level strategy down to a composition-dependent strategy (which has been done a zillion times here in this forum and in other places.)

I suggest that you try using the WOO blackjack hand calculator.

I’ve researched more into this part. For a single-deck blackjack game, let me list all possible 3-card 16 hands

Stand: 259, 277, 349, 358, 448, 457, 556, 24T, 33T, A5T, A78.

Hit: 268, 367, 466, A69.

Let me list all possible 4-card 16 hands

Stand: 4444, 3445, 3355, 3346, 3337, 2455, 2446, 2356, 2347, 2338, 2257, 2248, 2239, A555, A456, A447, A357, A348, A339, A258, A249, A23T, AA77, AA59, AA4T.

Hit: 2266, 222T, A366, A267, AA68.

For a 6-deck game, the change is minor, so we can just neglect it.

Quote: gordonm888

I suggest that you try using the WOO blackjack hand calculator.
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I suggest that you check the WOO basic strategy charts. For a hard 16 against a dealer's 10 with 4 or more decks, whether the dealer hits or stands on a soft 17, the strategy there is, "Surrender if you can; otherwise, hit."

Quote: billryan

I look at the table and if no 4s or 5s are out,will hit.
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I've investigated this part too. For 6-deck and 8-deck games, removing a card 5 does not change the composition-dependent strategy very much. what is important for the 16 vs T Hit/Stand decision is what player is holding.

Quote: aceside

Quote: billryan

I look at the table and if no 4s or 5s are out,will hit.
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I've investigated this part too. For 6-deck and 8-deck games, removing a card 5 does not change the composition-dependent strategy very much. what is important for the 16 vs T Hit/Stand decision is what player is holding.
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I generally play DD. I don't remember the last time I played an eight deck shoe.

Quote: harris

But what about a three-card 16? Single deck compositional basic strategy is already known, but I could not find any information about 4-8 decks which is what I usually find. I did some analysis last night and forgot to post about it.

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Most often better to stand, whether or not the dealer stands on soft 17, but it also depends upon the card composition of the 3-card 16.

https://wizardofodds.com/games/blackjack/hand-calculator/

This Hit/Stand decision of 16 vs. T is very important for card counters. In the Hi-Lo system, both the card 5 and card 6 are counted as a low card, indicating their removal is good for player’s overall expectation value. However, for this hand, the card 5 is a low card but the card 6 is a high card. This makes me think, how effective is the Hi-Lo system towards this 16 vs. T Hit/Stand decision?

Quote: Tanko

whether or not the dealer stands on soft 17

S17/H17 would be irrelevant anyways with this hand (as would any hand with a 7-10 dealer upcard).