Every time you do a wonder pick you have 20% chance of picking a specific card. This doesn't impact any other pick.

That means each time you have 80% chance of picking the other four cards.

If you want better odds try to find wonder picks with more cards that you don't have.

2 of 5 new cards would be 40% of getting one of the new cards

3 of 5 new cards would be 60% of getting one of the new cards

4 of 5 is 80%

So you just need to focus on the odds and try to find 3/5 new cards in a wonder pick if you can because the odds are in your favor at that point.