At one liberal arts college, students are classified as humanities majors, science majors, or undecided. The chances are 22% that a humanities major will change a science major from one year to the next, and 39% that a humanities major will change to undecided. A science major will change to humanities with probability 0.39, and to undecided with probability 0.27. An undecided will switch to humanities or science with probabilities of 0.13 and 0.19, respectively. Find the long-ran prediction for the fraction of students in each of these three majors. The long-range prediction is humanities, science, | undecided. (Round to three decimal places as needed.)

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