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Dikengkeng has 12 textbooks (5 textbooks on Probability Theory, 4 textbooks on Chemical Engineering and 3 textbooks on Geography) which she wishes to randomly

Dikengkeng has 12 textbooks (5 textbooks on Probability Theory, 4 textbooks on Chemical Engineering and 3 textbooks on Geography) which she wishes to randomly arrange on a shelf. What is the probability that every Geography textbook will be immediately preceded by a textbook on either Probability Theory or Chemical Engineering?

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