KTK/FRF: Expected numbers of copies of a card

EDIT: I didn’t realize when I posted this that the gain lands were going to take the basic land slot. I’ve updated the post to reflect the new numbers.

Fate Reforged has 165 cards (not counting the gain lands, which take the basic land slot): 60 commons, 60 uncommons, 35 rares, and 10 mythics.

Let’s consider the expected number of copies of any given common, uncommon, rare, or mythic from both sets in the block for a few different formats.

8-person draft (8 pack of Fate Reforged and 16 packs of Khans of Tarkir at the table)

	Fate Reforged	Khans of Tarkir
Commons	1.33	1.58
Uncommons	0.40	0.60
Rares	0.20	0.26
Mythics	0.10	0.13

Individual sealed (3 packs of Fate Reforged and 3 packs of Khans of Tarkir per person)

	Fate Reforged	Khans of Tarkir
Commons	0.50	0.30
Uncommons	0.15	0.11
Rares	0.08	0.05
Mythics	0.04	0.03

Team sealed (6 packs of Fate Reforged and 6 packs of Khans of Tarkir per team)

	Fate Reforged	Khans of Tarkir
Commons	1.00	0.59
Uncommons	0.30	0.23
Rares	0.15	0.10
Mythics	0.08	0.05

Some observations:

• An 8-person draft will only have 0.6 copies of any given Khans of Tarkir uncommon, so you shouldn’t draft towards an archetype that relies heavily on one until after you’ve actually drafted a copy. In fact, there are only 1.6 copies of any given Khans of Tarkir common, so you probably shouldn’t expect to see any specific one of those either, unless it tends to not be valued by other players.
• Drafts will have 1.2 – 1.5 times as many copies of a specific Khans of Tarkir card as of a specific Fate Reforged card at the same rarity, not 2 times as many copies as one might expect from the pack distribution.
• The expected numbers are roughly reversed for sealed, with 1.3 – 1.7 times as many copies of a specific Fate Reforged card as of a specific Khans of Tarkir card at the same rarity, despite an even pack distribution, so the small set should have a big impact on these formats.
• Sealed now has half as many copies of Khans of Tarkir cards. This means that the team sealed deck patterns previously observed are likely to change since there will be fewer copies of Savage Punch, Secret Plans, and the Warrior tribal cards, which enable the R/G, Sultai morphs, and B/W/x Warriors decks respectively. (The Sultai morphs deck does get Mastery of the Unseen, Temur War Shaman, and Whisperwood Elemental, but those are all rare or mythic. And while Fate Reforged has 2 Warrior tribal cards, neither of them has a particularly strong interaction with Warriors.)
• An 8-person KTK/KTK/KTK draft had an average of 24 gain lands, or 1 per pack opened. Since Fate Reforged also has 1 gain land per pack, the average number of gain lands in a draft won’t change. We will lose 1.5 tri-lands and 0.7 fetch lands per draft, but that is not likely to have a huge impact on the format.