A deck has 2 types of cards. [Mana](http://gatherer.wizards.com/Handlers/Image.ashx?multiverseid=368500&type=card) cards and [Spell]
(http://gatherer.wizards.com/Handlers/Image.ashx?multiverseid=383413&type=card) cards. The first player draws 7 and the second player draws 8. Each player then draws 1 card at the beginning of their next turn. Only 1 mana card is allowed to be played per turn. Each mana card produces 1 mana for that turn. The number of mana cards in play is each players mana total for that turn.
If a deck has 60 cards, with 24 mana cards, what is the ideal mana curve (distribution) to maximize mana spent if the highest costed card is 6 mana?
>>8931287
just slap together a monte carlo simulation to solve this, it's way easier and much more useful
because then in 1 second you can find out how it changes when you have 23 mana cards
or you can improve upon it by accounting for llanowar elves and birds of paradise, dark ritual, black lotus, etc
Thank you for the reply, kind citizen!
Unfortunately, I am at a pre-algebra level. Perhaps this image of flowchart Ken will provide a visual representation of my ability to perform your recommended Monte Carlo simulation.
>>8931287
It depends what the cost of your spells is, idiot. If all your spells cost 1 mana, then you need only around 18/19 lands, but if you're playing a control deck with a high-cost finisher you might go as high as 16/17 lands.
Also the math behind mtg is very thoroughly explored, for the simple reason that you can make actual cash money playing the game competitively.
>>8931324
>you might go as high as 16/17 lands
*As high as 27 /28.
Also check out this link OP
http://www.kibble.net/magic/
>>8931324
Thank you for the reply, kind citizen!
The question itself pertains to how many spells should be played and the number of lands is stated.
Perhaps this image will provide a visual representation of your post.
>>8931331
It depends on your curve. If you have one 6 mana spell in a deck of 1 mana spells, you'll have a very different mana selection than if all your spells are 6 mana.
>>8931331
http://www.mtgsalvation.com/forums/magic-fundamentals/magic-general/602044-statistics-help-the-numbers-of-drawing-land
>>8931332
Thank you for your reply, kind citizen!
The question itself pertains to how many spell of what cost should be included.
>>8931295
Or even worse: Storage Lands. Those must be a mathematical nightmare.
MtG is too dynamic of a game for static answers.
there are decks that benefit from no less than 55 lands.
There are a lot of cards in Magic that let you have a mana curve significantly faster than just 1 mana per turn. In fact there are a lot of ways to get infinite mana after just a few turns
>>8931348
In order to answer that question we would need to know what color you are playing, which specific cards you intend to play (especially if you're using any cards that generate mana which aren't lands or cards that let you draw additional cards), if your deck contains any special win conditions, etc
The problem here is that there does not exist a an optimal cost distribution in magic. You can only have an optimal distribution for a specific deck design.
>>8934060
this is awful