Different people will say different things. The fact is though if you ride a bike at some time you will come off.
Biking is dangerous, full stop. Just before I got into bikes again I persuaded myself (and others around me) that with the proper gear, proper road sense and training, and a responsible attitude biking really wasn't very dangerous at all. It wasn't true, I was kidding myself.
Anyone who's been riding a bike for quite a number of years will have the battle scars. And although you can get better and better as regards skill, observation and a heightened sense of awareness, the danger is always there.
I'm not trying to put you off just give you a real-world viewpoint. For me, the spiritual freedom and sense of elation a bike brings matches nothing else, and selfishly I'm prepared to indulge my passion regardless of the inherent risks involved.
So you have to make a choice based on your own personal priorities. I will however give you one piece of advice: if you get on your bike and you're scared of becoming a fatal staistic, get off, remove the keys and get back in your car, as you'll only be putting yourself in a dangerous mental postition which will likely lead to trouble. Riding with the knowledge that you're aware of the risks and have common-sense concern rather than panic based worry is of course another matter.
Unlike some others that may be a little over zealous in their advice and will say that biking isn't as dangerous as it seems (well meaning though they be) make sure you make your own decision. Good luck with it.
.