I used to be so afraid of flying that I would cry and hold strangers hands on planes without any prompting. It was out of control. It started really slowly though. I was able to fly when I was younger, but nervousness started to take over and eventually, like you, a bout of turbulence made me even more anxious.

I told my doctor about my week long anxiety before flying and how I would cry on strangers randomly throughout a flight convinced they were the last person I would ever meet. He prescribed Xanax and suggested therapy. The drugs helped me keep to myself, but what helped the most was watching planes take off and land at SFO.

I was flying to SFO for work and staying at a hotel nearby, so I would sit and watch planes take off and land. Every time I heard the engines speed up for take off, I would get nervous (and feel myself getting nervous writing this), but after a while, it got to where I could distract myself from the fear when on the plane.

When I wasn't in SFO, I would listen to air traffic control (smooth calming pilot voices!) on my ham radio as prep for an upcoming flight.

Also therapy is amazing for helping me work through various other anxieties.

Good luck! Its not impossible and you are on the right track through looking into statistics and trying to give yourself something concrete and rational to think about.