Chance is hugely significant in biology. In fact, the presence of apparent randomness in so many aspects of biology - from mutations in DNA to the chance involved in that one sperm reaching that one egg that became you - suggests that randomness is useful, even necessary, in very many cases.
Autumn is much redder in North America and east Asia than it is in northern Europe, and this can’t be explained by temperature differences alone. These areas also have a greater proportion of ancient tree lineages surviving: trees have gone extinct at a higher rate in Europe compared with those other areas.
The colour of a British wood in autumn is predominantly yellow. There are relatively few European trees which have red leaves in the autumn. But there are splashes of crimson or rust-red colours from a few indigenous trees, like the rowan, as well as from introduced species, like the North American red oak.