how to calculate Entropy from series of outcome?
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!).