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Events A and B are mutually exclusive. Events B and C are non-mutually exclusive. Which Venn diagram could represent this description?
Circles A, B, and C overlap.
Circles A and B overlap. Circle C is to the side.
Circles A, B, and C are shown. They do not overlap.
Circles A and C overlap, and circles C and B overlap.
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"Circles A and C overlap, and circles C and B overlap."
Reason: A and B must not overlap (mutually exclusive), while B and C must overlap. The fourth diagram allows A and B to be disjoint while both overlap C (with no A∩B region), satisfying both conditions.
Reason: A and B must not overlap (mutually exclusive), while B and C must overlap. The fourth diagram allows A and B to be disjoint while both overlap C (with no A∩B region), satisfying both conditions.
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