how to calculate Entropy from series of outcome? I want to generate my own private key with dice and/or other very entropic phenomenon. But how can I calculate if my data have a good entropy ? I mean if I throw dice in a certain way too much time maybe my outcome will not be trully random, maybe my dice is not a very good dice and have imperfection etc.

So can I just throw it 300+ and if I don't have 0.166666% each result (1,2,3,4,5,6) it's not good ?

Also I want to write my own series of dice result just to compare how deficient is my brain when I try to generate true randomness.

Thanks
Try using the an open source program called ent. Here are the results for rolling a die six times with the result vector of &lt;666666>.

% echo -n "666666" | ./ent

Entropy = 0.000000 bits per byte.

Optimum compression would reduce the size
of this 6 byte file by 100 percent.

Chi square distribution for 6 samples is 1530.00, and randomly
would exceed this value less than 0.01 percent of the times.

Arithmetic mean value of data bytes is 54.0000 (127.5 = random).
Monte Carlo value for Pi is 4.000000000 (error 27.32 percent).
Serial correlation coefficient is undefined (all values equal!).