Netherlands is a really rainy country. Still, bikes are extremely popular, like the average is 2 bikes per person.
The typical commute scheme is (1) bike to the station, then (2) train (trains are good, really good), then (3) another bike to work.
Now, on the other hand I've had times where it's just downright miserable, and I was pretty sure my fingers were on the verge of serious frostbite, and that was NOT fun and never will be. But, that's not too common.
Getting soaked on the way to work can be a pain, but if one just carries a rain suit in his/her bag then this will never be an issue.
I've got a pair of those and they are really convenient: I can put them on quickly, even while wearing shoes, and my legs don't get as sweaty because the rainmates are open in the rear side.