Version+2


 * very interesting. 5pts**
 * Magic The Gathering **

**** Many have heard of this amazing game, **** said that ** **it** ** is a children__s__' game, ** **will see it dull and pointless, but this is a hugely popular game that has more than 6 million followers worldwide.** ** What is magic the gathering? ** **It** ** Is a collectible card game designed in 1993 by Richard Garfield, professor of mathematics, and marketed by U.S. company Wizards of the Coast. Magic is the first example of ** **a** ** modern collectible card game  (information from wikipedia.org)** ** This fantastic game goes beyond a simple role-playing game where you play to be a wizard, you must create a strategy to destroy your opponent to achieve victory, this strategy is hidden behind math and ingenuity onto Magic the Gathering! ** . this game has a base game of five colors, those are: **
 * Magic the gathering is an** **RPG** ** (Role Playing Game) ** **where you are a magician of the age of dragons where your main mission is to beat any opponent __is go__ __ing to__ ** **that** ** appear ** **s** **.
 * The game consist ** **s on the following:** ** each player represents a magician who, as such, must defeat his enemy using his powers: magical creatures, artifacts, and spells, removing the power or mana from their land, some also with their own powers.


 * Each has its specialty and different strategies can be formed with them, the players __were beginning__** **begin** **their decks of spells __of__** **with** **a single color, but you can make any combinations, currently there are decks with five colors (something not very easy to do). In saying this means there are more than 20 combinations that can be done to build decks and compete, only from this point of view there is a sea of strategies, and __that's__ it what makes this game so interesting and competitive, the chances of to face exactly the same decks is almost zero.**

The Magic, like many other games, chance and luck combined __withskill__ and talent. A common complaint is, however, that there is much luck involved with the basic resource of the game: the lands. Many land or very few ( "Mana Flood" or "Mana Screw "in the game) at the beginning of mainly game, can ruin the possibility of a player to achieve victory without ever having committed a failure. A common response to this complaint is that the influence of luck in the game can be minimized. A precise amount of land and good the deck mixing techniques can reduce the likel__i__hood of any problem with mana. The game has several limitations which are as stated above that you can only have at most 4 copies of your spells, and the second is that you can only play one land per turn, this is where you get mana problems.** **but why t__he__ people have mana problems? well, __the__ mana is like __as__ money in the game, to pay your spells, and some spells are more expensive than others (hence there are many problems with mana in most decks, even more if you're a beginner who does not understand probability)**.**But how you can control that__?__** **easy, with the help of the powerful science, mathematics!**. "Now the system must optimize all odds doing** **relevant** **statistical calculations __relevant:__  Probability of stealing at least "x" cards: 1 - Σ chance to steal just 0,1,2 ... x-1  Probability of stealing less than "x" cards: Σ likely to steal or just 1.2 ... x-1**". probability analysis, __it was decided to calculate the number__ ** **??** depends on the total mana of any color required for all spells..." **. **And they gave us to a fantastic and incredible formula that solves all our problems of mana!**.
 * But why this game is linked with mathematics?**
 * __th__e fate of a game being decided by 3 basic factors: The construction of the deck, the ability to play and knowledge of the metagame. Starting at first: The deck __Contse__ minimum of 60 cards (almost all champions have 60 decks, it means a greater chance of getting cards you need) and a maximum of 4 copies of each (there's your ability to size many copies as you need, range from 2 to 3 copies of a letter can be a big difference). The second thing is clear, if you can not replace the random variable, your strategy probably will not work. The third thing is also important because it determines the way you play and build your deck, as the other existing decks.
 * Students at the University Carlos III of Madrid made a research on optimizing the game for the deck and f__ind__** **found** **a mathematical solution to the problem of mana ( the money of game)
 * "given the complexity that has made this course
 *  total land to optimum use of a function that


 * NumberOfLands=NumberSpells'ManaCost * NumberOfColors divided by 5**