Eh, no, miracle tickets cost $50. You get a regular 10-chain gacha pull with it, so I guess you could say it only costs $20 since a regular premium gacha pull is $30, but not free.
The only free one I am aware of is the SR miracle ticket that you get from newcomer login bonus (day 3 if iirc.)
All tickets appear in items - where you see how many potions and seeds you have, next tab over is mats, last tab will show you all the tickets you have.