User blog comment:Neppudere/Time to lay down the LAW: Legendary Archwitch Guide/@comment-26966113-20150926144516

Keep in mind this is running on very little data, 149 LAW rewards total so far. Will update with better loot numbers later. But these are the rough percentages for drops so far with variable damage and ace status:

N Cards: 29.53% ~ 32% chance (rough estimate to actual number)

R Cards: 22.15% ~ 22%

SR Cards: 5.37% ~ 5%

UR Cards: 0.67% ~ 0.5% (need more numbers.  might be less than this.)

USTicket: 6.71% ~ 5.5%

Awaken 10%: 5.37% ~ 5%

Awaken 5%: 10.07% ~ 10%

Valkyrie Sword Light: 11.41% ~ 10%

Other Arcanas: 8.72% ~ 10%

Keep in mind if you are soloing these fights your numbers may be weighted somewhat more towards the rarer drops. Not much, but some. High damage and ace status are also a factor whether assisting or found. Finding a LAW does not weight you for good drops.