Even or odd, it doesn't really matter. The point is that you are dividing the list approximately in half, give or take. If the split doesn't occur exactly at the middle (odd number of elements), it can be either the element just before or after the midpoint (even number of elements). Eventually, it will come down to either two elements or 1 elements, assuming the target isn't found at a midpoint.
When the list is split approximately in half, it will eventually keep splitting the list down to that very small number of elements until it either finds the target or determines that it isn't in the ordered list.
BTW, if it is an even number of elements, no element is the exact middle element - there will be one just before and one just after the midpoint. A midpoint element only occurs with an odd number of elements.
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