PDA

View Full Version : The perfect Mana curve



apple713
07-17-2013, 09:38 AM
Is there a perfect mana curve in the sense that the deck will draw a 1 cmc spell on t1 and be able to cast it and a 2 cmc spell by t2 and be able to cast it and so on until the deck has 60 cards in it?

The probability of drawing the card you need by the turn you need it to curve out should be relativly high like 75%+

im more interested in the math related to my question than people posting, "there is no perfect mana curve", or "it depends on the deck type", or "heres what i play it work".

Tempus
07-17-2013, 10:12 AM
So you want to have a deck which fulfills the following equations (as far as I remember this kinda stuff, written in latex):

\frac{{X \choose 1}{60 \choose 6}}{{60 \choose 7}} >= 0.75
\frac{{Y \choose 1}{60 \choose 7}}{{60 \choose 8}} >= 0.75
\frac{{Z \choose 1}{60 \choose 8}}{{60 \choose 9}} >= 0.75

where
X: number of 1-drops
Y: number of 2-drops
Z: number of 3-drops

On the draw add 1 to the numbers >= 6...