You just have to pretend you're a different person who doesn't care what hairstyle you get and thEN BAM YOU GET IT ON THE FIRST TICKET THEN YOU SWITCH BACK TO YOURSELF BECAUSE THATS HOW NEXON WORKS THEY DON'T LIKE GIVING YOU THINGS YOU WANT ON THE FIRST TRY
Took me 30 tickets or more, I've gotten a lot of goal looks in 1 try on other characters though, so yeah it's random. Good luck with yours!
edit: I royalled when Muse hair came out, and the selection that came with it really was not to my taste. I should have royalled on the next update, when there was a billion other hairstyles I could have settled for.