Not that simple, I'm afraid.
On Pro Golf, since 2001, there have been 8 holes in 1 on Par 4. 2 by women. Which satisfies both the hole in 1 and albatross at the same time.
That 4.5 billion to 1 is, I suspect, confusing (in poker terms) the odds of hitting quads with getting As, Ah,

and

in that order. One is very unlikely-the other massively unlikely