Question

An experimenter wishes to investigate the effect of three variables: temperature, pressure, and type of catalyst on the yield in a refining process. If the experimenter intends to use five setting for temperature (T1, T₂, T₃, ...), four settings for pressure (P₁,...) and two settings for catalyst (C₁,...), what is the probability that a randomly selected run will contain setting C₂?

Answer 1

If the experimenter uses 5 settings for temperature, 4 for pressure and 2 for catalyst, the total number of runs will be 5*4*2=40.

Out of these 40 runs, the number of runs that will contain C2 will be 5*4=20. Therefore, the probability that a randomly selected run will contain the setting C2 is .