The piece that begins with the line "There is a possibility of taking..." is the poem "The Road Not Taken" by Robert Frost. The actual opening line of the poem is "Two roads diverged in a yellow wood," but the poem is often mistakenly referred to by the first line you mentioned. "The Road Not Taken" is one of Frost's most well-known and frequently quoted works. It explores themes of choices, individuality, and the uncertainty of life's paths.