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For example, in roulette, the odds of hitting a specific number are 37 to 1. But a bet on a specific number only pays off at 35 to 1. It doesn’t take a genius to figure out how the casino makes its profit in that situation, does it? Slot machines work the same way. Slots usually have three reels but sometimes also have five reels. Jun 08, 2020 The bet size rapidly increases. It works for a while, but eventually your luck runs out, and you blow your bankroll. Furthermore, the odds of red and black spinning are always the same, so it’s the same as random bets. It doesn’t matter even if you had 100 blacks in a row.

Excerpt from an original publication: Kimberling, William C. (1992). Essays in Elections The Electoral College. Washington: National Clearinghouse on Election Administration, Federal Election Commission.

In order to appreciate the reasons for the Electoral College, it is essential to understand its historical context and the problem that the Founding Fathers were trying to solve. They faced the difficult question of how to elect a president in a nation that:

• was composed of thirteen large and small States jealous of their own rights and powers and suspicious of any central national government
  
• contained only 4,000,000 people spread up and down a thousand miles of Atlantic seaboard barely connected by transportation or communication (so that national campaigns were impractical even if they had been thought desirable)
  
• believed, under the influence of such British political thinkers as Henry St. John Bolingbroke, that political parties were mischievous if not downright evil, and
  
• felt that gentlemen should not campaign for public office (The saying was 'The office should seek the man, the man should not seek the office.').
  

How, then, to choose a president without political parties, without national campaigns, and without upsetting the carefully designed balance between the presidency and the Congress on one hand and between the States and the federal government on the other?

Origins of the Electoral College

The Constitutional Convention considered several possible methods of selecting a president.
One idea was to have the Congress choose the president. This idea was rejected, however, because some felt that making such a choice would be too divisive an issue and leave too many hard feelings in the Congress. Others felt that such a procedure would invite unseemly political bargaining, corruption, and perhaps even interference from foreign powers. Still others felt that such an arrangement would upset the balance of power between the legislative and executive branches of the federal government.
A second idea was to have the State legislatures select the president. This idea, too, was rejected out of fears that a president so beholden to the State legislatures might permit them to erode federal authority and thus undermine the whole idea of a federation.
A third idea was to have the president elected by a direct popular vote. Direct election was rejected not because the Framers of the Constitution doubted public intelligence but rather because they feared that without sufficient information about candidates from outside their State, people would naturally vote for a 'favorite son' from their own State or region. At worst, no president would emerge with a popular majority sufficient to govern the whole country. At best, the choice of president would always be decided by the largest, most populous States with little regard for the smaller ones.
Finally, a so-called 'Committee of Eleven' in the Constitutional Convention proposed an indirect election of the president through a College of Electors.
The function of the College of Electors in choosing the president can be likened to that in the Roman Catholic Church of the College of Cardinals selecting the Pope. The original idea was for the most knowledgeable and informed individuals from each State to select the president based solely on merit and without regard to State of origin or political party.
The structure of the Electoral College can be traced to the Centurial Assembly system of the Roman Republic. Under that system, the adult male citizens of Rome were divided, according to their wealth, into groups of 100 (called Centuries). Each group of 100 was entitled to cast only one vote either in favor or against proposals submitted to them by the Roman Senate. In the Electoral College system, the States serve as the Centurial groups (though they are not, of course, based on wealth), and the number of votes per State is determined by the size of each State's Congressional delegation. Still, the two systems are similar in design and share many of the same advantages and disadvantages.
The similarities between the Electoral College and classical institutions are not accidental. Many of the Founding Fathers were well schooled in ancient history and its lessons.

The First Design

In the first design of the Electoral College (described in Article II, Section 1 of the Constitution):

• Each State was allocated a number of Electors equal to the number of its U.S. Senators (always 2) plus the number of its U.S. Representative (which may change each decade according to the size of each State's population as determined in the decennial census). This arrangement built upon an earlier compromise in the design of the Congress itself and thus satisfied both large and small States.
  
• The manner of choosing the Electors was left to the individual State legislatures, thereby pacifying States suspicious of a central national government.
  
• Members of Congress and employees of the federal government were specifically prohibited from serving as an Elector in order to maintain the balance between the legislative and executive branches of the federal government.
  
• Each State's Electors were required to meet in their respective States rather than all together in one great meeting. This arrangement, it was thought, would prevent bribery, corruption, secret dealing, and foreign influence.
  
• In order to prevent Electors from voting only for a 'favorite son' of their own State, each Elector was required to cast two votes for president, at least one of which had to be for someone outside their home State. The idea, presumably, was that the winner would likely be everyone's second favorite choice.

• The electoral votes were to be sealed and transmitted from each of the States to the President of the Senate who would then open them before both houses of the Congress and read the results.
  
• The person with the most electoral votes, provided that it was an absolute majority (at least one over half of the total), became president. Whoever obtained the next greatest number of electoral votes became vice president - an office which they seem to have invented for the occasion since it had not been mentioned previously in the Constitutional Convention.
  
• In the event that no one obtained an absolute majority in the Electoral College or in the event of a tie vote, the U.S. House of Representatives, as the chamber closest to the people, would choose the president from among the top five contenders. They would do this (as a further concession to the small States) by allowing each State to cast only one vote with an absolute majority of the States being required to elect a president. The vice presidency would go to whatever remaining contender had the greatest number of electoral votes. If that, too, was tied, the U.S. Senate would break the tie by deciding between the two.

In all, this was quite an elaborate design. But it was also a very clever one when you consider that the whole operation was supposed to work without political parties and without national campaigns

while maintaining the balances and satisfying the fears in play at the time. Indeed, it is probably because the Electoral College was originally designed to operate in an environment so totally different from our own that many people think it is anachronistic and fail to appreciate the new purposes it now serves. But of that, more later.

The Second Design

The first design of the Electoral College lasted through only four presidential elections. For in the meantime, political parties had emerged in the United States. The very people who had been condemning parties publicly had nevertheless been building them privately. And too, the idea of political parties had gained respectability through the persuasive writings of such political philosophers as Edmund Burke and James Madison.
One of the accidental results of the development of political parties was that in the presidential election of 1800, the Electors of the Democratic-Republican Party gave Thomas Jefferson and Aaron Burr (both of that party) an equal number of electoral votes. The tie was resolved by the House of Representatives in Jefferson's favor - but only after 36 tries and some serious political dealings which were considered unseemly at the time. Since this sort of bargaining over the presidency was the very thing the Electoral College was supposed to prevent, the Congress and the States hastily adopted the Twelfth Amendment to the Constitution by September of 1804.
To prevent tie votes in the Electoral College which were made probable, if not inevitable, by the rise of political parties (and no doubt to facilitate the election of a president and vice president of the same party), the 12^th Amendment requires that each Elector cast one vote for president and a separate vote for vice president rather than casting two votes for president with the runner-up being made vice president. The Amendment also stipulates that if no one receives an absolute majority of electoral votes for president, then the U.S. House of Representatives will select the president from among the top three contenders with each State casting only one vote and an absolute majority being required to elect. By the same token, if no one receives an absolute majority for vice president, then the U.S. Senate will select the vice president from among the top two contenders for that office. All other features of the Electoral College remained the same including the requirements that, in order to prevent Electors from voting only for 'favorite sons', either the presidential or vice presidential candidate has to be from a State other than that of the Electors.
In short, political party loyalties had, by 1800, begun to cut across State loyalties thereby creating new and different problems in the selection of a president. By making seemingly slight changes, the 12^th Amendment fundamentally altered the design of the Electoral College and, in one stroke, accommodated political parties as a fact of life in American presidential elections.
It is noteworthy in passing that the idea of electing the president by direct popular vote was not widely promoted as an alternative to redesigning the Electoral College. This may be because the physical and demographic circumstances of the country had not changed that much in a dozen or so years. Or it may be because the excesses of the recent French revolution (and its fairly rapid degeneration into dictatorship) had given the populists some pause to reflect on the wisdom of too direct a democracy.

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For more on the Electoral College
http://www.archives.gov/federal_register/electoral_college/electoral_college.html

Electronic Roulette How It Works Cited

Remember to stay realistic about the long odds on this popular game of chance. Approach roulette with the sober realization that, with a house advantage of 5.26 percent on the American wheel, roulette is among the worst bets in a casino. Despite the odds, you can still use some simple strategies to stretch your roulette bankroll and enjoy the thrill of the spin. This article contains a few tips that can help you improve your chances of winning.

Roulette is a drain on your wallet simply because the game doesn’t pay what the bets are worth. With 38 numbers (1 to 36, plus 0 and 00), the true odds of hitting a single number on a straight-up bet are 37 to 1, but the house pays only 35 to 1 if you win! Ditto the payouts on the combination bets. This discrepancy is where the house gets its huge edge in roulette.

Starting with the basics

Strategy is critical if you want to increase your odds of winning. The first time you play roulette, the players sprinkling the layout with chips may look as if they’re heaping pepperoni slices on a pizza. You can make many different bets as long as you stay within the table’s maximum limits. Consequently, few players make just one bet at a time.

Of course, the more bets you make, the more complicated and challenging it is to follow all the action. Here are two possible plans of attack to simplify matters:

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• Stick to the table minimum and play only the outside bets. For example, bet on either red or black for each spin. This type of outside bet pays 1 to 1 and covers 18 of the 38 possible combinations.

• Place two bets of equal amounts on two outside bets: one bet on an even-money play and the other on a column or dozen that pays 2 to 1. For example, place one bet on black and one bet on Column Three, which has eight red numbers. That way, you have 26 numbers to hit, 4 of which you cover twice. You can also make a bet on red and pair it with a bet on Column Two, which has eight black numbers. Again, you cover 26 numbers, and 4 of them have two ways to win. Pairing a bet on either red or black with Column One (or on one of the three dozens) covers 24 numbers, and 6 numbers have two ways of winning. Spreading bets like this won’t make you rich, but it does keep things interesting at the table.

Playing a European wheel

If you happen to find a single-zero European wheel, you greatly improve your odds: The house edge is half that of roulette with the American wheel — only 2.63 percent. You may see a European wheel at one of the posh Vegas casinos, such as Bellagio, Mirage, or Caesars Palace. If you can’t find one on the floor, it’s probably tucked away in the high-limit area along with the baccarat tables, so you may need to ask. You can also find the single-zero wheel at some other upscale casinos around the country.

Because casinos set aside the European wheel for high rollers, you’re likely to find a higher table minimum, say $25. But because the house edge is half that of a double-zero wheel, the European wheel is the better roulette game to play for bigger bettors.

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Your chances of winning get even better if the casino offers an advantageous rule called en prison. Sometimes available on the European wheel, the en prison rule lowers the house edge even further to a reasonable 1.35 percent. The rule applies to even-money bets. For example, say you have a $10 bet riding on black. If the ball lands on zero, your even-money bet doesn’t win or lose but remains locked up for one more spin. If the ball lands on black on the next spin, the house returns your original bet of $10, but you don’t win anything. If the ball lands on red, you lose. And if the ball repeats the zero number again, your bet stays imprisoned for another round.