| The ‘Hitting on 16
debate’
Both articles below are by Alan Au Yeung
from www.winneronline.com.
Why hit on 16?
“We've often told you that, to play blackjack
effectively, you need to follow the basic blackjack strategy.
You may or may not have taken this advice, and if you
did, you've probably detoured from it on occassion --
especially when it comes to hitting on 16 when the dealer
shows a 7. I'll admit, I've done it too.
For myself, and others who are curious as
to why we should hit on 16, we went to our
good friend Michael Shackleford, better known
as the Wizard
of Odds.
"First you are in a damned-if-you-do
damned-if-you-don't situation with 16 against a 7. You
will probably lose either way. However your probability
of winning or pushing is better by taking a hit. For
every dollar you bet you will lose 40.86 cents by hitting
and 47.65 cents by standing? Wouldn't you rather save
the extra 6.79%?"
6.79% is a fairly decent savings. According
to the Wiz's blackjack appendix 9i (based on a 6 deck
game), here's another interesting example of a damned-if-you-do
damned-if-you-don't situation:
While holding 10,2 against a dealer's
4, you can expect to lose 21.11% if you STAND and 21.04%
if you HIT. That's only a savings of 0.07% if you HIT.
However, if you hold a 8,4; 9,3; or 7,5 against a dealer's
4, you can expect to GAIN 0.69%, 0.74%, and 0.78% respectively
if you choose to STAND.
So, the next time want to take a risk
by detouring from the basic blackjack strategy, remember
that it's safer take a gamble on a 12 vs a dealer 4 rather
than a 16 vs a dealer 7”
Follow up to ‘Why hit on 16’
In response to a previous article, Why hit on
16, Brian S. wrote to us explaining why he thought players
should STAND on 16. His ideas were well thought out and
we were sure other people have had similar concerns.
For this reason, we decided to investigate the issue
further. You can read Brian's email here.
To study this senario, we decided to write
a program which simulated 10 million hands of blackjack
in which the player held 16 and the dealer showed a 7.
The results are shown below. The figures should be accurate
to within + or -0.1%.
Player HITS on 16 when dealer
shows 7
BUST 5,834,208 hands (58.3%)
LOSE 761,815 hands (7.6%)
TIE 613,452 hands (6.1%)
WIN 2,790,525 hands (27.9%)
Player STANDS on 16 when dealer
shows 7
BUST: 0 (0)
LOSE: 7,340,567 hands (73.4%)
TIE: 0 (0)
WIN: 2,659,433 hands (26.6%)
In this senario, where the player HITs
on 16, he will win 27.9% of the time and tie 6.1% of
the time. When the player STANDs on 16, he will win 26.6%
of the time and will not tie any hands. It's fairly obvious
that HITTING on 16 would be better in this case because
you will win more.
We also ran the program in a senario where
the player STANDS on 16 while dealer holds 10 (as Brian
suggested). Here are the results:
Player STAND on 16 when dealer
shows 10
BUST: 0 (0)
LOSE: 7,881,486 hands (78.8%)
TIE: 0 (0)
WIN: 2,118,514 hands (21.2%)
Player HIT on 16 when dealer shows
10
BUST: 5,831,517 hands (58.3%)
LOSE: 1,451,422 hands (14.5%)
TIE: 656,850 hands (6.6%)
WIN: 2,060,211 hands (20.6%)
In the senario where the player STANDS
on 16 when the dealer shows a 10, the player will win
21.2% of the time. If the player was to HIT on 16 in
this senario, the player will win 20.6% of the time and
will tie 6.6% of the time.
It appears that the player will win 0.8%
more hands of he STANDs, however, we need to keep in
mind that the player who HITs will tie 6.6% of the hands.
So...
If a player played $1 blackjack where
every time he would get 16 and the dealer would show
10: At the end of his 10 million STAND-on-16 session,
he would have $4,240,000. If he was to HIT on 16, he
would have $4,120,000 (WINS) + $660,000 (TIES) = $4,780,000.
This would be $540,000 (12.7%) MORE if a player HIT on
16 when the dealer shows a 10.
By these results, we can see that the
basic strategy is indeed correct in telling the player
to HIT on 16 when the dealer shows 7 or higher.
|