The probability of an event under the uniform distribution - random permutations. a class with n kids lines up for recess. the order in which the kids line up is random with each ordering being equally likely. there are two kids in the class named celia and felicity. give an expression for each of the probabilities below as a function of n. simplify your final expression as much as possible so that your answer does not include any expressions of the form (ab)(ab). (a) what is the probability that celia is first in line? (b) what is the probability that celia is first in line and felicity is last in line? (c) what is the probability that celia and felicity are next to each other in the line?