Is there a better source of entropy available to the average person that could be used to mechanically generate a private key?

For i<52:
- if 0->31: add the corresponding 5 bits to the private key
- if 31+: run it again
Remove FOUR random bits
I think I said "available to the average person".
Most of the people that I know have a coin in their pocket or very nearby. I don't know anybody that owns their own well balanced and maintained roulette wheel.
By the way, how would you choose which 4 bits to remove?