Are the chances for all cards equal in YGO Power of Chaos (and the Expansions)

I wonder if the chances for specific cards are lower or higher than others in Yu-Gi-Oh! Power of Chaos (any of the trilogy).

You get 3 cards after a BO3-match (if won) and in the 3 there will never be duplicates. (but you can of course collect more than 1 over the course of more matches)

Since there are 155/315 in the first 2 games the chances to get a specific card should be ~1:50 and 1:105 respectively.

But I I have my doubts that the RNG is flawless. (I hunt for a specific card to get 3 of them and already have almost all cards at 3, but this at 1 only)

I know I can just unlock all cards, but I want to play my way through.

So… are the chances equal? Can I influence what I get with what I play?

The card which I hunt is Elegant Egoist (to summon Harpie Lady Sisters)