identifying a venn diagram\nevents a and b are mutually exclusive. events b and c are non - mutually…

identifying a venn diagram\nevents a and b are mutually exclusive. events b and c are non - mutually exclusive. which venn diagram could represent this description?

identifying a venn diagram\nevents a and b are mutually exclusive. events b and c are non - mutually exclusive. which venn diagram could represent this description?

Answer

Explanation:

Step1: Recall mutual - exclusive concept

Mutually exclusive events have no overlap. Since A and B are mutually exclusive, the circles representing A and B should not intersect.

Step2: Recall non - mutually exclusive concept

Non - mutually exclusive events have an overlap. Since B and C are non - mutually exclusive, the circles representing B and C should intersect.

Step3: Analyze the options

The third Venn - diagram has non - intersecting circles for A and B (mutually exclusive) and intersecting circles for B and C (non - mutually exclusive).

Answer:

The third Venn diagram (the one where A and B do not overlap and B and C overlap)