Just going to note that the probabilities you stated are the CUMULATIVE values for the stated outcome – not the probability for that attempt individually (which is always X / 6, X being the number of unowned dragons)
I’ve plotted this data myself previously, here is your probability of owning X dragons after N eggs, charted in various ways:
Stacked plot (all outcomes sum to 100%):
Non-stacked plot (easier to compare each outcome):
Y-logarithmic plot (each outcome trends towards an exponential decay of *(X/6):