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No. Carries are more yellow in color. As to shape, while I have seen some Fairchilds with that shape I have also seen some variability with a more rounder, less "classic" mango shape.
You would know which it was by the taste. Two totally different tastes. Carrie has a definite tanginess while the Fairchild is pure sweetness (no tangy character) and possibly a little spice. Texture of a Carrie is also softer, and nears or turns to mushy when very ripe. Fairchild does not have this texture issue.