3. Suppose I have a magnetic six-sided die which makes it not a fair die. I roll the die 500
times and find that I get a “6” 100 times.
a) For this die, what is my best estimate of the probability of rolling a “6”?
b) If I roll this die 30 times, how many “6”s do I expect to get?
c) If I roll a fair die 30 times instead of this “unfair” die, how many “6”s do I expect to get?