We already knew that the chance that cards evolved was between 1 and 2%. And we know that the chances of the evolving cards succeeding is based off the number of same cards already obtained according to this chart.

01-10: 55%
11-19: 60%
20-35: 70%
36-49: 80%
50-up: 90%

Now we know the chances that the evolving card will evolve into a higher rank card, and what ranks that it may transform into. S and SS Rank cards will not transform.

N4 Card: 60% N2, 30% N1, 10% R4
N3 Card: 60% N1, 30% R4, 10% R3
N2 Card: 60% R4, 30% R3, 10% R2
N1 Card: 30% R4, 55% R3, 10% R2, 5% R1
R4 Card: 10% R4, 50% R3, 35% R2, 5% R1
R3 Card: 20% R3, 50% R2, 28% R1, 2% S
R2 Card: 30% R2, 60% R1, 10% S
R1 Card: 89.995% R1, 10% S, .005% SS