An example method of entropy coding video data includes obtaining a pre-defined initialization value for a context of a plurality of contexts used in a context-adaptive entropy coding process to entropy code a value for a syntax element in a slice of the video data, wherein the pre-defined initialization value is stored with N-bit precision; determining, using a look-up table and based on the pre-defined initialization value, an initial probability state of the context for the slice of the video data, wherein a number of possible probability states for the context is greater than two raised to the power of N; and entropy coding, based on the initial probability state of the context, a bin of the value for the syntax element.