The CEO and the CFO at Triton Capital will join the CEOs and CFOs of two other companies at a conference in Washington, DC. If the six corporate officers attending the conference are randomly seated at a round table in the main conference room,
a. What is the probability that both Triton Capital officers will be seated next to each other?
b. Show the probability distribution for the random variable x, where x represents the number of companies that have both of their officers seated together. (For example, x = 1 means that for only one of the companies are both officers sitting together.)