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In the case of incomplete dominance, when a black chicken (BB) is crossed with a white chicken (WW), the offspring will display a blending of the two phenotypes rather than a dominance of one over the other.
Since you have a black chicken (BB) and a white chicken (WW), the resulting genotype of the offspring (BW) will express a phenotype that is a mix of black and white, resulting in a gray chicken.
Therefore, the expected phenotype of the offspring would be:
**All gray**.