At the Gamma Kappa Phi sorority the 15 sisters who are seniors line up in a random manner for a graduation picture. Two of these sisters are Columba and Piret. What is the probability that this graduation picture will find
(a) Piret at the center position in the line?
(b) Piret and Columba standing next to each other?
(c) exactly five sisters standing between Columba and Piret?
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