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The question of "how long does it take to randomly collect N of each item in a collection, with replacement?" is called the Double Dixie Cup Problem. User PM 2Ring located and implemented the formula for me; in general, collecting four sets of something takes about twice as many trials as collecting one set of something.

The question of "how long does it take to randomly collect N of each item in a collection, with replacement?" is called the Double Dixie Cup Problem. User PM 2Ring located and implemented the formula for me; in general, collecting four sets of something takes about twice as many trials as collecting one set of something.

According to this answer,

According to this answer,

• You need to open an average of 14.7 packs to get one foil common, so you need to open 7702 packs to get one of each.
• You need to open an average of 18.7 packs to get one foil uncommon, so you need to open 7423.7 packs to get one of each.
• You need to open an average of 28.2 packs to get one foil rare, so you need to open 6796.2 packs to get one of each.
• You need to open an average of 99.6 packs to get one foil mythic, so you need to open 4880 packs to get one of each.

The question of "how long does it take to randomly collect N of each item in a collection, with replacement?" is called the Double Dixie Cup Problem. There doesn't appear to be a formula for this, but from my experiments it seems like N=4 takes about three times as many trials as N=1. So by my estimate, to get four of every regular and foil card in Khans, you would need to buy 22,269 packs, with an MSRP of $88,853.31.

$88,853 is a lot more expensive than just buying singles for $2760, so singles are the way to do.

• You need to open an average of 14.7 packs to get one foil common, so you need to open 7702 packs to get one of each.
• You need to open an average of 18.7 packs to get one foil uncommon, so you need to open 7423.7 packs to get one of each.
• You need to open an average of 28.2 packs to get one foil rare, so you need to open 6796.2 packs to get one of each.
• You need to open an average of 99.6 packs to get one foil mythic, so you need to open 4980 packs to get one of each.

The question of "how long does it take to randomly collect N of each item in a collection, with replacement?" is called the Double Dixie Cup Problem. User PM 2Ring located and implemented the formula for me; in general, collecting four sets of something takes about twice as many trials as collecting one set of something.

+--------+---+----------+----------+--------+--------+----------------+----------------+----------------+----------------+
|rarity  |qty|trials    |trials    |regulars|foils   |packs needed for|packs needed for|packs needed for|packs needed for|
|        |   |(copies=1)|(copies=4)|per pack|per pack|a set of        |a set of        |a set of        |a set of        |
|        |   |          |          |        |        |1 regular       |4 regular       |1 foil          |4 foil          |
+--------+---+----------+----------+--------+--------+----------------+----------------+----------------+----------------+
|common  |101|525       |1091      |10      |101/1494|52              |109             |7765            |16138           |
+--------+---+----------+----------+--------+--------+----------------+----------------+----------------+----------------+
|uncommon|80 |397       |839       |3       |40/747  |132             |279             |7413            |15668           |
+--------+---+----------+----------+--------+--------+----------------+----------------+----------------+----------------+
|rare    |53 |241       |527       |7/8     |53/1494 |275             |602             |6793            |14855           |
+--------+---+----------+----------+--------+--------+----------------+----------------+----------------+----------------+
|mythic  |15 |50        |122       |1/8     |5/498   |400             |976             |4980            |12151           |
+--------+---+----------+----------+--------+--------+----------------+----------------+----------------+----------------+

to get four of every regular and foil card in Khans, you would need to buy 16,138 packs, with an MSRP of $64,390.62 plus tax.

$64,390.62 is a lot more expensive than just buying singles for $2760, so singles are the way to go.