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Iterated quadratic polynomials give rise to a rich collection of differentdynamical systems that are parametrized by a simple complex parameter $c$. Thedifferent dynamical features are encoded by the \emph{kneading sequence} whichis an infinite sequence over $\{0,\1\}$. Not every such sequence actuallyoccurs in complex dynamics. The set of admissible kneading sequences wasdescribed by Milnor and Thurston for real quadratic polynomials, and by theauthors in the complex case. We prove that the set of admissible kneadingsequences has positive Bernoulli measure within the set of sequences over$\{0,\1\}$.

Bernoulli measure of complex admissible kneading sequences