You are planning a day of shopping. You need to visit 6 stores. If the order of the stores is randomly selected, what is the probability that Kinkos and the bank will be visited consecutively (in either order)?
Consider the case in which Kinkos and the bank will be visited consecutively. Treat the visit to Kinkos and bank as a single visit. Then, number of ways to visit 5 stores = 5!
Number of ways in which Kinkos and bank can be visited = 2!
Number of ways to visit Kinkos and bank consecutively in 6 visits = 5! x 2!
= 120 x 2
= 240
Total number of ways in which 6 stores can be visited = 6!
= 720
P(Kinkos and the bank will be visited consecutively) = 240/720
= 1/3
= 0.3333
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