(Solution) - From four agricultural plots two are selected at random for -(2025 Original AI-Free Solution)

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From four agricultural plots, two are selected at random for a pesticide treatment. The other two plots serve as controls. For each plot, denote by S the event that it is treated with the pesticide. Consider the assignment of treatment or control to a single plot as a trial.
(a) Is P(S) the same for all trials? If so, what is the numerical value of P(S)?
(b) Are the trials independent? Why or why not?