People get skewed impressions about how safe/unsafe cycling is because they imagine worst case scenarios for cyclists. To be clear the worst-case outcomes for cycling accidents are truly awful and very fatal... getting right-hooked and run over by a garbage truck, getting hit from behind or T-boned by a car travelling at highway speed.
But fatal bike accidents are exceedingly rare. The vast majority of typical bad bike accident outcomes however are little more than road-rash, a broken collarbone or a concussion and frequently these are the fault of the cyclist. A "totaled" bike amounts to something less than the deductible cost of auto-insurance in most cases.
Fatal car accidents are ALSO rare but fender benders (IMHO) have been getting MORE common as a result of mobile phones. Sadly a "fender-bender" can do massive financial damage--- $500 for each popped airbag + $1000++ whatever auto-body damage was incurred. Of course "fender benders" easily extend into "totaled car" when enough damage is done, even if everyone is unscathed.