A doctor recommends that a patient takes 3 doses of vitamins A or D.
a. List out the sample space of the three doses of vitamins, order of the doses matters.
b. The probability that all three doses are Vitamin A.
c. The probability that all three doses are all Vitamin A or all Vitamin D
d. The probability that there are exactly two doses of Vitamin A or exactly two doses of Vitamin D.
e. The probability of taking at least one dose from each Vitamin.