This undergraduate textbook presents an inquiry-based learning course in stochastic models and
computing designed to serve as a first course in probability. Its modular structure complements
a traditional lecture format introducing new topics chapter by chapter with accompanying
projects for group collaboration. The text addresses probability axioms leading to Bayes'
theorem discrete and continuous random variables Markov chains and Brownian motion as well
as applications including randomized algorithms randomized surveys Benford's law and Monte
Carlo methods. Adopting a unique application-driven approach to better study probability in
action the book emphasizes data simulation and games to strengthen reader insight and
intuition while proving theorems. Additionally the text incorporates codes and exercises in
the Julia programming language to further promote a hands-on focus in modelling. Students
should have prior knowledge of single variable calculus. Giray Ökten received his PhD from
Claremont Graduate University. He has held academic positions at University of Alaska Fairbanks
Ball State University and Florida State University. He received a Fulbright U.S. Scholar award
in 2015. He is the author of an open access textbook in numerical analysis First Semester in
Numerical Analysis with Julia published by Florida State University Libraries and a co-author
of a children's math book The Mathematical Investigations of Dr. O and Arya published by
Tumblehome. His research interests include Monte Carlo methods and computational finance.
