# 5* Shards: Dual Class Crystal or Featured Crystal Calculation

Salt_Doll
Posts:

**15**★
Hello all,

So I found myself with some 5* shards and wondered whether it would make more sense to spend 10,000 shards on one of the new dual class crystals or 15,000 shards (or 11,000 with Black Market price) on the Featured Crystal. So I did some math to figure out when I would choose the featured crystal if the goal was to minimize the shards spent on obtaining champs I actually wanted. The assumptions I used are that we have an equal chance of getting any champ available in the dual class crystal and an equal chance of getting one of the 24 champs in the featured crystal.

Let Wf be number of champs we really want that are in the featured crystal. Wd is the number of champs we really want in the entire pool in the dual class crystal. T is the total number of champs available in those two classes. At the moment I believe for the Mystic/Science classes, T=56; for the Tech/Cosmic classes, T=63; and for the Mutant/Skill classes, T=66.

If we're spending 15,000 shards for the featured crystal, then we should purchase the featured crystal if:

Wf > (36 * Wd) / T (rounded up)

Mystic/Science, Wf > (9 * Wd) / 14

Tech/Cosmic, Wf > (4 * Wd) / 7

Mutant/Skill, Wf > (6 * Wd) / 11

If we're spending 11,000 shards for the featured crystal, then we should purchase the featured crystal if:

Wf > (132 * Wd) / (5 * T) (rounded up)

Mystic/Science, Wf > (33 * Wd) / 70

Tech/Cosmic, Wf > (44 * Wd) / 105

Mutant/Skill, Wf > (2 * Wd) / 5

Example: Out of 5* Mystic/Science champs I only really want to try for 6 of them. I'm paying the Black Market 11,000 shard price for the featured crystal.

Wf > (33 * 6 ) / 70

So, I should get the featured crystal over the mystic/science crystal if there are at least 3 champs in the featured crystal I really want.

Please let me know if I'm making any incorrect assumptions or have made any other mistakes.

So I found myself with some 5* shards and wondered whether it would make more sense to spend 10,000 shards on one of the new dual class crystals or 15,000 shards (or 11,000 with Black Market price) on the Featured Crystal. So I did some math to figure out when I would choose the featured crystal if the goal was to minimize the shards spent on obtaining champs I actually wanted. The assumptions I used are that we have an equal chance of getting any champ available in the dual class crystal and an equal chance of getting one of the 24 champs in the featured crystal.

Let Wf be number of champs we really want that are in the featured crystal. Wd is the number of champs we really want in the entire pool in the dual class crystal. T is the total number of champs available in those two classes. At the moment I believe for the Mystic/Science classes, T=56; for the Tech/Cosmic classes, T=63; and for the Mutant/Skill classes, T=66.

If we're spending 15,000 shards for the featured crystal, then we should purchase the featured crystal if:

Wf > (36 * Wd) / T (rounded up)

Mystic/Science, Wf > (9 * Wd) / 14

Tech/Cosmic, Wf > (4 * Wd) / 7

Mutant/Skill, Wf > (6 * Wd) / 11

If we're spending 11,000 shards for the featured crystal, then we should purchase the featured crystal if:

Wf > (132 * Wd) / (5 * T) (rounded up)

Mystic/Science, Wf > (33 * Wd) / 70

Tech/Cosmic, Wf > (44 * Wd) / 105

Mutant/Skill, Wf > (2 * Wd) / 5

Example: Out of 5* Mystic/Science champs I only really want to try for 6 of them. I'm paying the Black Market 11,000 shard price for the featured crystal.

Wf > (33 * 6 ) / 70

So, I should get the featured crystal over the mystic/science crystal if there are at least 3 champs in the featured crystal I really want.

Please let me know if I'm making any incorrect assumptions or have made any other mistakes.

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