Blackjack Solution

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101217 - 21 Ace, 4 - Ace, 5 Ace , 7Pair A,A or pair 8,8 4,49,9Never take insurance or even money
Below 9 hit (always)
9Double Down when dealer shows 3-6 otherwise hit
DD except 10 and Ace otherwise hit
11DD except Ace
Stay 4-6 otherwise hit
13 - 16Stay 2-6 otherwise hit
Stay (always)
Ace, 2 - Ace, 3 DD when dealer shows 5, 6 otherwise hit
DD 4,5,6, otherwise hit
Ace, 6DD 3-6 otherwise hit
Stay 2,7,8, DD 3-6 hit 9, 10, Ace (most misplayed hand in blackjack)
Ace, 8 -Ace, 10 Stay (always)
Split (always)
2,2 - 3,3 - 7,7Split 2-7 otherwise hit
Split 5,6 otherwise hit
6,6Split 2-6 otherwise hit
Split except dealer shows Ace, 7,10
10,10 Stay (always)
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  • Given 2 int values greater than 0, return whichever value is nearest to 21 without going over. Return 0 if they both go over. Blackjack (19, 21) → 21 blackjack (21, 19) → 21.

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Some casinos allow blackjack tables to be used openly, others don't. When playing online keep this table at your side.

Blackjack (natural) - the player wins 1.5 times the bet. With a bet of $10, you keep your $10 and win a further $15 from the dealer. Push - the hand is a draw. The player keeps his bet, neither winning nor losing money. Now that you have the basics of the game play, expand your game to include a wagering system. Blackjack actions is a parameter that counts everything: Busted hands, pat hands (17 to 21), blackjack hands, and draws or hits to the first 2-card hands (incomplete hands). The software does NOT print the incomplete bj hands. Blackjack actions is a parameter that counts everything: Busted hands, pat hands (17 to 21), blackjack hands, and draws or hits to the first 2-card hands (incomplete hands). The software does NOT print the incomplete bj hands.

Daniel is now selling some Basic Strategy T-shirts in his store. The Basic Strategy chart is upside down on the front of the T-shirts. One glance down will remind you how to play your next hand.
The back is right-side up for your neighbor. Oh, and note the cool basic strategy coffee mug.

These T-shirts have proven to be instant ice-breakers! It will make you the center of attention. Great for meeting people and oh, it will help your game.

You have an Ace and 7, the dealer shows a 6. What do you do?

If you didn't immediately say Double Down, you need this T-shirt.

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Play and practice for free

Practice is the key to success in all fields. Several students that I have trained to become professional players all used this practice method. It simulates game-like conditions. First copy or purchase the basic strategy chart found above and keep it by your side. Click on the link to go to 888Casino. Click free download. A page of standard regulations will appear. Read and click agree. Choose a currency. You will receive a user name and password. Save them. This all should take a minute or two.Now click on play for free. That's it. You can practice all you want at no cost. Go at the speed you are comfortable with. Leave and return whenever you desire.

Test yourself. Play 20 hands without looking at the chart. Click on history and the hands you just played will appear in a neat column. Go down the column while checking it against the chart. Not only are you learning but is great fun at no cost.

The above basic strategy is generic and serves me well for all games. The gain from learning a slightly different strategy for single and multi-deck is so minimal that it is not worth the effort.
That said I offer the following:

Blackjack Solution
If Surrender is available:
Sr 16 vs dealer 9'10'A
Sr 15 vs dealer 10
If DAS, double after splitting, is not permitted:
do not split 6,6 vs dealer 2
do not split 4,4 vs dealer 5 or 6
do not split 3,3 vs dealer 2 or 3
do not split 2,2 vs dealer 2 or 3
What are you doing playing a game that does not allow DAS anyway?
In a single deck game
stand on 7,7 vs dealer 10
and stand if you draw out 4,5,6 to a dealer 10
The above should be obvious in that you have used up the cards that could help you. You are in a bad situation and it is best to hope for the dealer to bust.

Well now that you have seen basic strategy it is important to learn it. To learn anything it is easier if you understand it and believe in it. I don't want to go too deep into the details but the following explaination may help you see some of the reasons for the above basic stratgey chart.

Players have the most trouble with the A, 7 vs dealer 9, 10, A.

An 18 appears to be a pretty good hand and many people are reluctant to hit it. They reason why possibly ruin a good hand. The answer is that it is not a good hand against those dealer cards.
Look at a dealer 9. There are 13 possible cards under that 9. The ace gives the dealer a 20 and four chances for a 10 gives the dealer a 19. So right at the start you have lost five times. A 9 gives you a push and only an 8 a win. So with seven possible cards you have five losses, one tie and one win.
It gets more complicated now. If the under card is a 2 the dealer has an 11 with four chances of drawing a 10, one chance each at a 9 and 8 which beat your 18. In short the dealer will make good hands on about half of his draws resulting in the player losing 7.5 times, pushing once and winning only 3.5 times.

Now let's hit your A, 7 as basic strategy requires. An ace, 2 or 3 improves your hand and a 10 leaves it the same. If you draw a 6 for example and make a 14 you can hit again. You will make a good hand on about half of those draws. In summary look at the following table.

Nothing Like Blackjack Solution

If you fail to hit A,7 vs dealer 9 your loss is
If you fail to hit A,7 vs dealer 10 your loss is
-4.00%
If you fail to hit A,7 vs dealer A your loss is

If you fly on an airplane, cross a bridge or ride an elevator you trust the math. Winning blackjack is all about math. Trust it. Hit your A, 7 vs dealer 9, 10, A.

Codingbat Blackjack Solution

In this case we must take into account the composition of the remaining cards in the deck. The deck contains all of the cards except for an 8, a 6, a queen, and one more card we don't know (the dealer's second card). To solve our problem, we need to figure out how the dealer's second card affects the odds of drawing any particular card from the remaining deck. After giving this a little thought, it becomes clear that the probabilities are not affected; since we don't know anything about the dealer's down card, all cards not shown in the game are drawn with equal probability.

To convince yourself of this, suppose that the dealer is initially dealt only one card, but when you hit, she first draws a card for herself and then hits you. This is clearly equivalent to the actual game situation. The probability of you busting does not depend directly on the card the dealer draws for himself, but in the card you receive. For any specific card in the remaining deck, the probability that you get it is the product of the probability that the dealer did not receive the card and the probability that you did receive the card: (48/49) · (1/48) = (1/49), just like the probability of getting any given card if the dealer were not dealt another card.

With this, we can solve the problem. You will bust if you get a card from 8 to 10 or a face card. There are 6 · 4 = 24 of these cards in a regular deck, but the game is showing 2 of them, so there are 22 remaining. Thus, the probability of you busting is 22/49 &asymp 0.45. The fact that the dealer was dealt a card whose value you don't know does not affect your knowledge of the remaining cards in the deck and you can consider probabilities as if it was still in the deck.