Mana curve/60 cards, draw first

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Mana curve/60 cards, draw first
 
 

The 60 cards, draw first sample calculation with 8 at one, 7 at two, 6 at three, 5 at four, 9 at five, 25 lands.

Turn
  1. 8 draws/60 cards * n successes = 1: for n is approx 8 one drops/land. Total so far 8 + 8 = 16.
  2. 9 draws/60 cards * n successes = 1: for n is approx 7 two drops.
    • Also 9 draws/60 cards * n successes = 2: for n is approx 13 land. Total so far 8 + 7 + 13 (using each land number as a minimum) = 28.
  3. 10 draws/60 cards * n successes = 1: for n = 6 three drops.
    • 10 draws/60 cards * n successes = 3: for n = 18 land. Total so far 8 + 7 + 6 + 18 = 39.
  4. 11 draws/60 cards * n successes = 1: for n is approx 5 four drops.
    • 11 draws/60 cards * n successes = 4: for n is approx 21 land. Total 8 + 7 + 6 + 5 + 21 = 47.
  5. 12 draws/60 cards * n successes = 1: for n = 5 five drops.
    • 12 draws/60 cards * n successes = 5: for n = 25 land. Total 8 + 7 + 6 + 5 + 5 + 25 = 56.
  6. 13 draws/60 cards * n successes = 1: for n is approx 5 six drops
    • 13 draws/60 cards * n successes = 6: for n is approx 28 land. Total 8 + 7 + 6 + 5 + 5 + 5 + 28 = 64

Since carrying this algorithm into turn six results in too many cards and turn five doesn't is still four short we replace turn six's calculation with:

  • 13 draws/60 cards * n successes = 2: for n is approx 9 five drops. New total 8 + 7 + 6 + 5 + 9 + 25 = 60 cards!