Why am I so afraid of cycling outside?

I run - that's what I love to do. I have been asked several times if I have ever considered training for a triathalon. The answer is a very quick - NO.  Why not you ask?  Well, I am petrified to ride a bike in the road. I know that sounds crazy, but it's true. I have no problem running in the road. The way I see it is that if a car comes at me, I can jump out of the way. Where exactly am I going with a bike? Also, on a bike I can't see what's coming since I'd be going in the same direction as the cars. This whole fear is something that I really need to get over. I guess it's no different than being afraid of spiders or small spaces. I should just get out there one day and do it to conquer this absurd fear. My plea here is for some help! Please tell me why I shouldn't be scared and how awesome triathalons are.  I'd love to hear from some cycling enthusiasts. Maybe that would help.  Thanks in advance =)

Today's Workout:  6.1 mile run and Cardio Barre + F&V  Total Points for HBBC:  13.1