The BFOQ Job Training Corporation believes that it has a new program that will increase job placements. Essentially, the corporation thinks that if it runs its trainees through a simulated interview before sending them out on a job interview, their likelihood of getting the job increases. BFOQ randomly selects 36 individuals of relatively equal skills on a matched-pair basis. Eighteen of these individuals are run through the simulation. BFOQ then sends one pair, one person who went through the training and one person who did not, to interview for one of 18 different jobs. (These individuals are the only ones to interview for the jobs.) Thirteen of the eighteen persons who went through the simulation get the jobs. What is the probability that 13 of the 18 would get jobs if there were no difference between the two sets of 18 persons? Show your work.