All of my life, if you count extraordinary coincidences happening again and again. I believe that you never see the supernatural or paranormal until you look for them.
And it's also a matter of perspective. If you'd demonstrated a cell phone to Henry VIII, he would've had you burned at the stake as a witch or magician...(he liked to do that).
An example of one of my experiences, which could be rationalized away (and probably will be) follows:
I was a young single mother, driving 75 miles round trip daily to work to support my kids. My car was older and had its problems. One July Saturday morning I was driving home after doing some overtime. The long, deserted Beeline Hiway stretched ahead and behind me for many miles, with no other traffic in site.
Suddenly my car began steaming and sputtering and came to a stop. This was pre cell-phone days and I was miles from a house or business. Right about then a beat-up station wagon came over the horizon, pulled up in front of my car, and an older, white-haired man got out.
He asked me to raise my car's hood, then looked at the car & said it was a bad hose. From his tattered vehicle he pulled tape and several gallon jugs of water, After taping the hose and filling my radiator, he told me to get to a mechanic ASAP to have it repaired properly. He then looked at me and said, "I have a daughter, so I'm always prepared. I'd want someone else to do this for her". He drove away.
I did go to a gas station and got the car repaired. I didn't see another car for the 20-some miles it took to get there, either.
An angel unawares or just dumb, blind luck? I guess it's all in how you look at it.