Being hit how? What type of accidents are more likely to happen? A bike path with no interaction at all with cars will of course prevent any bike-car collision, there will still be bike-bike collisions and other types of accidents (the majority of bike accidents are not car-bike collisions anyway). That kind of exclusive bicycle path is delusional anyway, specially in a urban settings, where you always have to interact with the regular roadway. And it is there, in those interactions where most bike-car collisions happen, in fact most collisions in general happen in intersections. Segregating by vehicle type only makes intersections, which is were accidents happen, more complicated. It makes no sense to have an exterior lane being a thru lane when the adjacent lane is allowed to turn right, that is a contradiction to traffic engineering principles and it is what many bike lanes do.

Segregated bike paths, at some point, have to intersect with roads and driveways. So you can never eliminate the risk of accidents.

I can’t find any hard data on this, but from what I can see online (and my own experience riding in the road), the most common types of accidents are when cars are turning, and fail to yield to a cyclist. Being rear ended or sideswiped seems to be much more rare than accidents where the car is turning and doesn’t see the cyclist.

For example, a cyclist is riding in a bike lane, and a car is turning left into a driveway. The car is looking for oncoming traffic in the road, so the cyclist is most visible in the road or bike lane, where the driver is expecting fast moving traffic to be. If we build a segregated bike path, cyclists will be much less visible, and it’s more likely that a driver will fail to see them when turning.