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Rainbow Trains
Part 1

There are three train cars: a blue one, a red one, and a green one. This train has a conductor whose job it is to disconnect the train cars in the back and put them in the front. They can do this as many or as few times as they want. If the three train cars are randomly ordered, what is the probability that the conductor can rearrange it into rainbow order? (Note: Here, rainbow order means red, then green, then blue)