A medication for treating the disease is effective upon any given day with probability P. If the medication is taken for 10 days, and effectiveness is independent from day to day, calculate:
A) the probability that the medication is effective on all days
B) the probability that the medication fails on at least 1 of the 10 days
C) the values of P for which the medication is more likely to be effective on all 10 days than to fail on at least 1 day.