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The growing field of information theory can be used in linguistic morphology to describe morphological order and paradigmatic organization using quantifications of intricacy and predictability. One topic that has been less investigated with these approaches is the morphology of polysynthetic languages. To contribute to this gap, I analyzed the overall complexity, paradigmatic complexity, and prefixial order of Plains Cree corpus data by measuring the information-theoretic concepts of information intricacy (entropy) and shared information through co-occurrence (mutual information). The results demonstrate an uneven dispersal of entropy in the corpus that is largely based on token frequency, valency, and argument type. Results also suggest an intriguing rebuttal to previous information-theoretic research on morphological order. I will discuss the implications of my results in relation to this previous research, as well as how they relate to paradigmatic and templatic morphology.