Then, copy that formula down for the rest of your stocks. But, as I said, dividends can make a huge contribution to the returns received for a particular stock. Also, you can insert charts and diagrams to understand the distribution of your investment portfolio, and what makes up your overall returns. If you have data on one sheet in Excel that you would like to copy to a different sheet, you can select, copy, and paste the data into a new location. A good place to start would be the Nasdaq Dividend History page. You should keep in mind that certain categories of bonds offer high returns similar to stocks, but these bonds, known as high-yield or junk bonds, also carry higher risk.
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Blackjack players may want to keep shuffle tracking in the back of their minds, as you never know when you might be playing with hand-shuffled cards. Keep in mind, however, that shuffle tracking involves as much guesswork as it does scientific fact. Shuffle tracking depends on where cards land, providing that that can be correctly predicted. Other Blackjack Card Counting Strategies There are plenty of blackjack rules and strategies out there, but none offer a higher Betting Correlation than the Uston SS system, which is also much easier to implement than other high-yield strategies.
The only effective technique we have not yet discussed can be easily added to the Blackjack card counting system of your choice — Side Counts. Insurance Bets Implementing a good Blackjack card counting strategy will give the advantage in Insurance bets. Knowing how many high cards remain, especially a side count of Aces, will tell the player exactly how to handle an Insurance situation.
Card Counting in the Movies Representations of card counting in Hollywood films range from believable to utterly ridiculous. Here are some films that portray card counting in a variety of different ways. The Hot Shoe This documentary by director David Layton chronicles the history of blackjack card counting.
This is a fascinating documentary for anyone interested in blackjack card counting. The Last Casino A mathematics professor recruits three bright students and teaches them to count blackjack cards because he himself is blacklisted from several casinos for counting cards. They then set out on a spree, racking up winnings at various casinos.
Rain Man With four Oscars, two Golden Globes and an Eddie award, Rain Main is quite possibly the best known and most beloved movie about card counting. This classic is about an autistic savant, his less-than-perfect brother, and their journey across the USA with an inheritance in the balance—it has it all.
They go on to take Las Vegas casinos for millions in winnings. The story is based on the real MIT Blackjack Team, formed in , but the script of the film took a significant artistic license, to say the least. See if you can spot Bill Kaplan, the founder, and leader of the MIT Blackjack Team, in the background of the underground Chinese gambling parlor scene.
All you need to start counting cards is basic math skills and innate knowledge of a deck of cards. Counting, or Reading Cards as it is sometimes called, is all about statistics. The cards in a deck are known, so counters can use this knowledge along with the cards that are shown to them in order to determine the makeup of high and low cards in the remainder of the deck.
This can be used for many different types of games that use a deck or multiple decks of cards but is most common in single-deck Blackjack. Blackjack Counting Cards Truth The important thing to remember when counting cards is that it will not produce a win every time for the player, it only improves and influences the chances of a player winning. As most people know, casinos always make money in the long run—which is much more important than the short run, especially in statistics.
A good counter can take a game like Blackjack—which, when playing normally has odds slightly in favor of the dealer—and make it so the game pays out to him more than he loses. And over time, he will win larger sums of money. Winning money using card counting takes many hands, and the best systems often utilize a partner system. It is very smooth for the majority of counts, but goes wild at the very high and low counts.
This is despite the fact that this is a simulation of one billion hands and the data has been smoothed with a quadratic B-spline algorithm. Of course, if you play long enough, you will experience a few wild counts. Your results at those counts are essentially random. Unfortunately, the human mind is more likely to remember such events, even though they have no meaning. This is why people watch X-files and other silly TV shows. Esoterica 1. This will result in automatic wins or losses at specific extremely high or low counts.
The odds of running into this situation are approximately zero. Advantage by Type of Hand I've been experimenting with topology maps in an attempt to better show statistics by type of hand. The attached Advantage Surface Chart shows advantage for the various first two cards. X-axis is type of hand all hard hands, soft hands and pairs. Z-axis is dealer up card. Y-axis is eventual advantage given six deck, Hi-Lo, spread. Time Spent in Advantage Situations Balanced vs.
Comparing the percentage of time that two systems indicate specified advantages is problematic because the counts are not continuous. Different systems result in different levels of advantage percentage. The third chart shows the frequency of hands at each count. Here, the red and green are charted using a logarithmic scale. The blue ribbon in the back is the same data as the green ribbon plotted with a standard scale. It is there to show why I had to use a logarithmic scale and to show the huge number of hands at a TC of zero in a system that truncates instead of rounds.
Five columns are provided using data from five multi-deck, multi-player sims. The height of the columns represents advantage. Column 1 displays the effect of playing errors. The total height of the column represents the advantage with no errors. The green segment indicates the penalty resulting from one error per hundred hands. The blue section is the additional penalty of another error per hundred. And on through five errors.
The errors are serious; but not idiotic. Insure is reversed, surrender is reversed, split or double is changed to hit, hit and stand are reversed. But, a hard 18 up is never hit, an eleven down is never stood, and a double or split is never taken when it shouldn't. Column 2 displays the effect of betting errors for a non-cover bettor. Again, succeeding circular slices of the bar show the effect of errors. The player is spreading 1 to 8.
Errors are: if should be a one bet, bet two; if should be a two, bet three; if should be a three through eight, but two. Column 3 displays the effect of miss-estimating the remaining cards for TC calculation. Column 4 shows the effect of using no indexes at all. The green section is the penalty when using perfect BS vs.
The count is still used for betting purposes. Column 5 is the effect of errors for a cover-bettor. The betting is very conservative not allowing large increases or decreases, no increases after losses, no decreases after wins and no change after pushes. The error scenario is too complex to explain here. Also, several other fancy rules are added. The problem with such a game is the huge penalty of reducing the BJ payoff. I've created a Surface Area Chart which displays the difference in winnings between a normal single deck game and a game like Double Diamond DD.
The chart has all two card hand types on the x-axis, dealer upcard on the y-axis and difference in winnings on the z-axis. The z-axis is winnings on the Diamond game minus winnings on a normal game. Looking at the chart, the games are equal where the blue and green meet.
Green is a slight advantage for DD, red is a serious disadvantage for DD. It indicates that the variance at that number of hands is actually greater than the difference in results between the two games. The solid green with upcard combinations totalling 5, 6, 7 and 8 indicates a very slight gain in using the DD rules. This is due to the gain from double on any number of cards, 6 card charlie, and 5 card The huge slice through the stack shows the loss due to most BJ's paying even money.
This is somewhat less at BJ vs. Ace because of the BJ automatic win rule. The point of the chart is to show the enormous penalty of the BJ rule change versus the very slight gains by the oddball rules. Components of Advantage This chart provides two rows of Stacked Bars. There are 14 pairs of bars representing the advantages that can be gained using various strategies according to Griffin calculation techniques.
The y-axis advantage is not quantified as it is relative. The rectangular columns in the back row indicate the relative gains when playing multi-deck. The dark green signifies gain from betting and the red indicates gain from using indexes. A spread is assumed. The circular columns in the front row indicate the relative gains when playing single deck. Here, three components are displayed. Again, betting and playing gain are shown. The, additional, blue segment indicates the gain from playing SD vs.
So, what does this chart illustrate? Nothing new; but a few concepts that should be kept in mind: Playing gain is equal to or more important than betting gain in SD as opposed to MD where betting gain is substantially more important. However, both are important in MD. Spread can make up for the loss in MD advantage, or for the pessimist, spread is necessary to make up for the loss in MD advantage.
The differences between systems are dwarfed by the difference in spread. That is, we spend altogether too much time thinking and debating about which system is best and not enough time talking about how to maximize the spread without getting tossed.
This is the simple point of the chart. Disclaimers: No simulations were run. Results are calculated from Griffin formulae. Side counts, number of indexes and cover plays are ignored. PE calculation is questionable for unbalanced counts. First Base Penalty For some time, we have been aware that it is better to sit at third base in single deck, face down games.
Common sense tells us that we get to see more cards and can make better playing decisions. In an extreme case seven players , the advantage difference between seats 6 and 7 is about 0. You lose another. However, the difference in advantages between first and second seat is much worse. First seat can be as much as. As this is a severe penalty, I decided to take a look. First, I looked at the winnings by true count. I created a chart which shows the winnings for first seat and second seat by true count.
But, at a TC of 4, second seat does better. At , better and better. After that,. It evens out. OK, we now know that there is something about these particular counts that we should examine. I then decided to look at hand types.
I took the winnings for the second seat and broke them up into an array of all possible two card hands vs. This is an array of values. I also created the same array for the second seat. I subtracted the second array from the first array and charted the remainders. First seat has a serious problem with two tens against a 3, 4, 5 and 6. Tens vs. All other hand results are about the same. Common thinking would have expected many differences along the lines of the Illustrious Guess what, the indexes for splitting tens at are Hi-Lo.
So, why is there a major problem with splitting tens in seat one? Well, if you think about it, there is a quirk in seat one. Remember, we are playing SD, face down, seven seats. That means, two rounds.