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Furthermore, if we flat bet at 10 units per round instead of 1 unit, the range of possible outcomes increases 10 fold.

After 10 rounds, the expected loss will be 10 x 1 x 5. As you can see, standard deviation is many times the magnitude of the expected loss. The standard deviation for pai gow poker is the lowest out of all common casinos.

Many, particularly slots, have extremely high standard deviations. As the size of the potential payouts increase, so does the standard deviation.

As the number of rounds increases, eventually, the expected loss will exceed the standard deviation, many times over.

From the formula, we can see the standard deviation is proportional to the square root of the number of rounds played, while the expected loss is proportional to the number of rounds played.

As the number of rounds increases, the expected loss increases at a much faster rate. This is why it is impossible for a gambler to win in the long term.

It is the high ratio of short-term standard deviation to expected loss that fools gamblers into thinking that they can win. It is important for a casino to know both the house edge and variance for all of their games.

The house edge tells them what kind of profit they will make as percentage of turnover, and the variance tells them how much they need in the way of cash reserves.

The mathematicians and computer programmers that do this kind of work are called gaming mathematicians and gaming analysts.

Casinos do not have in-house expertise in this field, so outsource their requirements to experts in the gaming analysis field.

From Wikipedia, the free encyclopedia. Not to be confused with Arcade game or Cassino card game. This article needs additional citations for verification.

Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.

Retrieved 13 October Gambling mathematics Mathematics of bookmaking Poker probability. Casino game Game of chance Game of skill List of bets Problem gambling.

Category Commons Wiktionary WikiProject. Retrieved from " https: Articles needing additional references from October All articles needing additional references.

Views Read Edit View history. This page was last edited on 18 December , at People play free online Spider Solitaire all the time, too.

Now kids of all ages can find entertainment with Mario and Luigi and each other just by going online. The Super Mario Bros games have come a long way over the years.

Teachers are now pushing children and adolescents to go online for homework assignments after school.

Even during class, students are encouraged to play computer games, some online, to improve their skills in subjects like math, spelling, and physics.

This ever-expanding form of Education is catching on and is required at schools throughout the world, an empire of online invasion.

Word scrambles and crossword puzzles can both be found for free online and help students improve their spelling and vocabulary. In middle school and high school, teachers test the knowledge of guys and gals on recently completed reading assignments.

Elementary school students participate in math trivia on the computer. Kindergarten classes are beginning to adopt computer game learning strategies, too.

There are even free online games for preschoolers to learn new things before heading off to primary school. Educational games are available to assist in the learning process for students in any grade to improve their typing, problem-solving, and strategy skills.

The same goes with the Hunger Games series. The Hunger Games movie and its sequel Catching Fire heated the box office for months.

The Walking Dead is another series that is captivating many viewers and gamers, gathering a massive following that continues to grow.

Zombies has become a very trendy game over the past few years among teenagers and adults alike. Plant flower pots and special seeds that attack oncoming zombies and prevent them from damaging your garden.

The movie Zombieland has also contributed to the thirst kids and young adults have to watch the intense action of a zombie apocalypse against humanity where humans of every age try to escape from the wrath of zombies.

The popular Left 4 Dead and Left 4 Dead 2 are games for a variety of consoles on which people can connect to the internet to join one another in the battle to escape blood thirsty zombies.

Mortal Kombat is another action game where players are battling to win each round. It was released as a video game franchise in It made its first film debut in If you like horror games, check out the new Slender Man game.

Diary of a Wimpy Kid is a popular title today, as well, also based on a book series and has inspired a few online games itself. Some other media titles that have a large following and have influenced game designers across the world include Power Rangers, Legends of the Hidden Temple where players must compete in a maze and reach the finish line without getting caught , Klondike, the anime series Beyblade adapted from the manga illustrated novels , Naruto another Japanese manga series , Dragonball Z, Pokemon, Teenage Mutant Ninja Turtles TMNT , and Yugioh.

Most modern gaming consoles are capable of connecting to the internet, so people are able to play all sorts of games together, even sports, while staying comfortable in their own homes.

Playing on HD televisions seriously enhances your gaming experience, as well. However, old school consoles like the Sega Genesis are not online-compatible.

If you have the means, participate in an exciting game of baseball to gear up for preseason training for an MLB team, a beloved American pastime, and play as your favorite team player on the league.

Or you can be a part of the NBA and put your basketball skills to work, shooting basket after basket, passing the ball to your teammates across the floor.

This season, join the online NFL to make a playoff game and then win your own big Superbowl game. Playing online sports games is so much better than if you were to stream live sports coverage.

Who wants to watch college basketball or football if you can actually be a part of the game in your own room? Golf is also a sport you can play online to avoid high expenses.

If you like to hunt, there are plenty of free sporty hunting games available to play online, too. Practice your virtual target shooting.

Take down elk or whitetail deer with guns or bow, see who can get the biggest buck in the woods or go duck hunting online.

Even go wild turkey hunting in the woods. Pick a game where you can travel through the jungle to take down a bear or a tiger or any other jungle animal.

Go fishing online and become a pro fisher! Or if golfing is more your fancy, putt your golf ball across the green online for free in your own PGA golf tournament.

Free online bowling and soccer games exist, as well. Barbie has come a long way since her creation into the world of child play things in Since the early s, girls have been playing dress up with their Barbie dolls, but now young girls everywhere can do so much more.

There is a Barbie doll for nearly every theme imaginable. The veterinarian Barbie takes care of nearly any pet, from a dog and cats to horses.

Waitress Barbie can run from table to miniature table at her make pretend restaurant, collecting imaginary money in tips. What better way to attract a young girl to the world wide web than to add a childhood favorite toy to the world of virtual games?

Dolls are becoming more rare as the years progress, many retiring as collectible toys. Barbie has her own collection of cartoon movies, too. If Barbie thought the actual Ken doll was a stud, boy was she surprised to see his online physique!

For decades, playing dress up has nearly always made young girls happy. Carting baby dolls around from room to room Some little girls love hosting their own tea parties, bringing stuffed animals and Barbie dolls to the table, using fingernail polish to paint their tiny nails, starting their own hair salons Now, however, things are changing.

Even Polly Pocket is joining the ever-growing online world. Ever wonder what it would be like to create your own world? The Sims computer game allows you to do just that.

The Sims 2 and Sims 3 are much better quality and you have many more options when creating your Sim a world of its own. You choose what they wear, dressing them like a sophisticated businessman or barefoot and pregnant.

Build a hotel and houses. Give them a public swimming pool. You could play God and instruct them on how to live, or you can sit back and let them interact with one another completely on their own.

The main difference of previous editions of the game The Sims are that they are less complex, but with the Sims 3, you can watch your characters go through the phases of pregnancy, watch the babies grow into their teenage years, a terrible phase many caring parents are all too familiar with, even have them cook meals.

If a relationship goes wrong, your Sim may seek revenge on another, throwing logic completely out the window. Give them a tattoo. Get your Sim a job You can even use an online photo simulator to create a cartoon version of yourself for some massively multiplayer online role-playing games MMORPG games or online dating sites to practically clone yourself.

Now instead of pretending to watch plants grow, kids can witness their own free online virtual gardens to raise crops and flowers and other unique plants sprout right on the computer screen.

If you like farming, you should enjoy having your own personal online farm. Keep track of your horses and be sure to clean the stables for each horse.

Go for a scavenger hunt to find crops that are ready for harvesting. Specific websites offer special online game rooms with seemingly countless free games.

Some of the games included are Text Twist, Mahjong, and Collapse. In order to submit your high sore in an online game room, registration to the website is usually required.

Bejeweled Blitz is a matching game, and the object of the game is to make as many jewel matches as possible in one minute. You do this when you match at least three of the same color jewel, whether it be a red ruby cluster, a bunch of emerald jewels, white diamonds, or other available jewels.

Facebook, one of the best ranking social media sites ever to enter the online world, is loaded with tons of free online game apps.

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Casino games generally provide a predictable long-term advantage to the casino, or "house", while offering the player the possibility of a large short-term payout.

Some casino games have a skill element, where the player makes decisions; such games are called "random with a tactical element". While it is possible through skillful play to minimize the house advantage, it is extremely rare that a player has sufficient skill to completely eliminate his inherent long-term disadvantage the house edge or vigorish in a casino game.

For example, if a game is played by wagering on the number that would result from the roll of one die, true odds would be 5 times the amount wagered since there is a 1 in 6 chance of any single number appearing, assuming that the player gets the original amount wagered back.

However, the casino may only pay 4 times the amount wagered for a winning wager. In games such as blackjack or Spanish 21 , the final bet may be several times the original bet, if the player double and splits.

In American roulette , there are two "zeroes" 0, 00 and 36 non-zero numbers 18 red and 18 black. This leads to a higher house edge compared to the European roulette.

Therefore, the house edge is 5. After 10 spins, betting 1 unit per spin, the average house profit will be 10 x 1 x 5. The house edge of casino games vary greatly with the game, with some games having as low as 0.

The calculation of the roulette house edge was a trivial exercise; for other games, this is not usually the case. In games which have a skill element, such as blackjack or Spanish 21 , the house edge is defined as the house advantage from optimal play without the use of advanced techniques such as card counting , on the first hand of the shoe the container that holds the cards.

The set of the optimal plays for all possible hands is known as " basic strategy " and is highly dependent on the specific rules and even the number of decks used.

Good blackjack and Spanish 21 games have house edges below 0. Traditionally, the majority of casinos have refused to reveal the house edge information for their slots games and due to the unknown number of symbols and weightings of the reels, in most cases this is much more difficult to calculate than for other casino games.

However, due to some online properties revealing this information and some independent research conducted by Michael Shackleford in the offline sector, this pattern is slowly changing.

The luck factor in a casino game is quantified using standard deviations SD. The binomial distribution assumes a result of 1 unit for a win, and 0 units for a loss, rather than -1 units for a loss, which doubles the range of possible outcomes.

Furthermore, if we flat bet at 10 units per round instead of 1 unit, the range of possible outcomes increases 10 fold. After 10 rounds, the expected loss will be 10 x 1 x 5.

As you can see, standard deviation is many times the magnitude of the expected loss. The standard deviation for pai gow poker is the lowest out of all common casinos.

Many, particularly slots, have extremely high standard deviations. As the size of the potential payouts increase, so does the standard deviation.

As the number of rounds increases, eventually, the expected loss will exceed the standard deviation, many times over. From the formula, we can see the standard deviation is proportional to the square root of the number of rounds played, while the expected loss is proportional to the number of rounds played.

As the number of rounds increases, the expected loss increases at a much faster rate. The veterinarian Barbie takes care of nearly any pet, from a dog and cats to horses.

Waitress Barbie can run from table to miniature table at her make pretend restaurant, collecting imaginary money in tips.

What better way to attract a young girl to the world wide web than to add a childhood favorite toy to the world of virtual games?

Dolls are becoming more rare as the years progress, many retiring as collectible toys. Barbie has her own collection of cartoon movies, too.

If Barbie thought the actual Ken doll was a stud, boy was she surprised to see his online physique! For decades, playing dress up has nearly always made young girls happy.

Carting baby dolls around from room to room Some little girls love hosting their own tea parties, bringing stuffed animals and Barbie dolls to the table, using fingernail polish to paint their tiny nails, starting their own hair salons Now, however, things are changing.

Even Polly Pocket is joining the ever-growing online world. Ever wonder what it would be like to create your own world? The Sims computer game allows you to do just that.

The Sims 2 and Sims 3 are much better quality and you have many more options when creating your Sim a world of its own. You choose what they wear, dressing them like a sophisticated businessman or barefoot and pregnant.

Build a hotel and houses. Give them a public swimming pool. You could play God and instruct them on how to live, or you can sit back and let them interact with one another completely on their own.

The main difference of previous editions of the game The Sims are that they are less complex, but with the Sims 3, you can watch your characters go through the phases of pregnancy, watch the babies grow into their teenage years, a terrible phase many caring parents are all too familiar with, even have them cook meals.

If a relationship goes wrong, your Sim may seek revenge on another, throwing logic completely out the window.

Give them a tattoo. Get your Sim a job You can even use an online photo simulator to create a cartoon version of yourself for some massively multiplayer online role-playing games MMORPG games or online dating sites to practically clone yourself.

Now instead of pretending to watch plants grow, kids can witness their own free online virtual gardens to raise crops and flowers and other unique plants sprout right on the computer screen.

If you like farming, you should enjoy having your own personal online farm. Keep track of your horses and be sure to clean the stables for each horse.

Go for a scavenger hunt to find crops that are ready for harvesting. Specific websites offer special online game rooms with seemingly countless free games.

Some of the games included are Text Twist, Mahjong, and Collapse. In order to submit your high sore in an online game room, registration to the website is usually required.

Bejeweled Blitz is a matching game, and the object of the game is to make as many jewel matches as possible in one minute.

You do this when you match at least three of the same color jewel, whether it be a red ruby cluster, a bunch of emerald jewels, white diamonds, or other available jewels.

Facebook, one of the best ranking social media sites ever to enter the online world, is loaded with tons of free online game apps. One of the biggest rages ever to hit online gaming is Candy Crush, very similar to Bejeweled Blitz but for the fact that Candy Crush Saga contains levels that get harder as you progress across the board.

Another recent favorite is Words with Friends, a word puzzle very similar to Scrabble only with different tile values and a different board layout.

Sudoku has gained popularity over the past few years, too. Games that force the mind to think are the best online games you can play.

There is now a Star Wars version of the game, where each type of bird is dressed up as character from the Star Wars saga. The birds go to war against the evil pigs, destroying everything in their path.

Head to the casino section of an online game room to hit the slots. Some people really do invest money in each online slot machine, but do be careful.

Slot machines can be very scary. You could win some mega cash prizes or go completely bankrupt. A Christmas favorite is an activity where you can virtually kick Santa Claus with a reindeer.

Just how far can you make him fly? Or picture yourself a pirate battling for treasure, a spy on the run, or a great detective in the next online mystery game!

Act as a bouncing dinosaur, jumping over obstacles in an endless race against time. Look out for Sonic the Hedgehog online games, too.

Comic book characters like Spiderman and Batman are also in online games. Sometimes you may even encounter games based on celebrity figures.

Choose your dream wedding. There are also tons of political polls and quizzes scattered throughout the net. Who needs to go to the local arcade when you can play skeet ball online?

Note that many games in an online game room are single player only. Game rooms often refer to the downloaded games as Deluxe versions and the online game is just a demo.

Downloading games takes forever, and downloads take up space on your computer, so playing free online games is a great way to save time and space.

Transform into the ultimate master of online gaming when you nail all the games in the game room. Or do you just like racing? The internet is full of competitive racing games to occupy you for hours on end.

Gaming websites welcome you with open arms and a wide variety of driving games. Many feature race cars, dirt bikes, motorcycles, even police chases.

Skateboarding fans and BMX lovers will fit in just fine here, too. They run the drivers off the road, crashing to a halt, as they stroll the street corners looking for what they imply will be a good time.

And because of the secondary female characters, these games need to be rated at a more mature level, specifically for year-olds and older.

Race away from the police academy and escape jail and the government, drive your way to freedom. Sometimes when the scenery is incredibly detailed or keeps changing, it can throw the driver off, making your eyes drift and you lose control of the car or truck.

Hitting too many obstacles is sure to put you in last place. However, many games contain objects that will give you an extra point or two or even bonuses.

Some online game rooms have games in which you can be a pilot, flying your airplane to see if you can reach your destination in time.

Try to direct a successful flight the first time around. If you fly well enough, you might just get to play a bonus round. Call of Duty is a particularly popular military first 1st person shooter fps game.

Avoid starting another civil war, and just plow through the fields. Be a silent and sneaky sniper about to shoot out an entire fleet.

Use an automatic firearm and unload endless rounds on your enemies while trying to stay out of sight. With each passing year, companies are designing and searching for ways to improve ways we communicate and what we can do with technology.

Online game apps are all the rage on the latest Android phone and iPhone, as well as on the iPad and tablets.

Nearly all of the revolutionary eReader companies are now creating eReaders with gaming capabilities.

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