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In a gathering of 26 students, 16 major in Engineering and the remaining 10 major in...

In a gathering of 26 students, 16 major in Engineering and the remaining 10 major in CS. Among Engineering students, 4 are from out of state, while among CS students, 3 are from out of state. A group of 5 students is selected from the gathering. It is required that at least 2 from each major are selected, and further it is required that exactly one student from out of state is selected. If all valid selections that satisfy these requirements are equally likely, find the probability that the selected out of state student majors in Engineering

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