One way you could figure it out is by finding what some people call your "birth card." Basically, you take your full birthdate, add up all the numbers, and then reduce it down until you get 22 or under. Whatever number you land on connects to a Major Arcana card.
For example, say your birthday is 05/25/1994 → 5+2+5+1+9+9+4 = 35 → 3+5 = 8. That lines up with Strength, so that would be your card.