MATH $1330$ Spring $2015$Section $8\mathrm{.}38\mathrm{.}3$Probability Applications of Counting Principles Ex$.1$The Environmental Protection Agency is considering inspecting $6$ plants for environmental compliance; $3$ in Chicago, $2$ in Los Angeles, and $1$ in New York.Due to a lack of inspectors, they decide to inspect two plants selected at random, one this month and one next month, with each plant equally likely to be selected, but no plant selected twice.What is the probability that $1$ Chicago plant and $1$ Los Angeles plant are selected?