Completion Rate and Enrollment forecasting is an essential element in budgeting, resource allocation, and the overall planning for the growth of education sector. Our paper purposeful demonstrated the use of Markov chain techniques in studying progression of BSMST Programme Students from the time of entry/enrollment in each academic year to graduation after the expected year of study in MWECAU. The target population included all BSMST programme students in MWECAU from 2013 to 2015. The model used to determine the student’s completion/dropout rate, retention rate and the expected duration of completing by sex. We established the completion rates for male students and that of female students and dropout rates. We saw how long Markov Transition Probability Matrices of BSMST students at MWECAU will be at a steady state. How the established completion and dropout rates will be in Absorbing rates/States. Also we saw female expectation of university education compared to male students in BSMST Programme students. The model was only suitable in make a short period projections.