More probabilities:
Events only, limit of 2
0 Events: 28.67%
1 Event: 34.32%
2 Events: 37.02%
Landmarks only, limit of 2
0 Landmarks: 45.39%
1 Landmark: 35.17%
2 Landmarks: 19.44%
Events/Landmarks, limit of 2 each
0 Events, 0 Landmarks: 14.23%
1 Event, 0 Landmarks: 15.86%
2 Events, 0 Landmarks: 15.29%
0 Events, 1 Landmark: 9.80%
1 Event, 1 Landmark: 12.05%
2 Events, 1 Landmark: 13.32% (19.01% if limiting to 3 total)
0 Events, 2 Landmarks: 4.64%
1 Event, 2 Landmarks: 6.40% (9.12% if limiting to 3 total)
2 Events, 2 Landmarks: 8.41% (0% if limiting to 3 total)
(Note that the Events only and Landmarks only distributions are not independent - that is, you can't get the probabilities in the last table just by multiplying probabilities from the first two. The distribution of Events and Kingdom cards in the shuffled randomizer deck tells you something about the distribution of Landmark and Kingdom cards, and vice versa. The easiest way to see this is to consider the case where there is only one Landmark available. If we shuffle the Events and Kingdom cards, in order to have 0 Events the first 10 cards in our deck must be Kingdom cards, so if we now randomly insert the Landmark there are only 10 places in can go in order to be drawn (before each of those 10 Kingdom cards). In order to draw 1 Event, the tenth Kingdom card is now in the 11th slot, so there are 11 places to insert the Landmark in order for it to be drawn. And so on. The more Events we're playing with, the more Kingdom+Event cards we had to draw, and thus the more slots available for drawing Landmarks.)