How much information is there in the roll of a fair die in b

How much information is there in the roll of a fair die (in bits/roll)? How much info is there in a roll of a loaded die with: p(1) = 0.2, p(2) = 0.1, p(3) = 0.01, p(4) = 0.09, p(5) = 0.05, p(6) = 0.15?

Solution

1. It is unbiased die, n\'t a fair die
2. It has more than 6 faces, as the reason some of the all face dies are = 0.60 only
3. Probability of occurance of gettiing 3 is very minimal.