Question

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

Explanation:

Step 1: Recall Mutually Exclusive Definition

Mutually exclusive events (A and B) have no overlap, so their Venn diagram circles should not intersect. Non - mutually exclusive events (B and C) have an overlap, so their circles should intersect.

Step 2: Analyze Each Diagram

• First diagram: A and B overlap (not mutually exclusive), so eliminate.
• Second diagram: A and B overlap (not mutually exclusive), and C doesn't overlap with B, so eliminate.
• Third diagram: A and B don't overlap (good for mutual exclusivity), but B and C don't overlap (bad for non - mutual exclusivity), so eliminate.
• Fourth diagram: A and B don't overlap (mutually exclusive), B and C overlap (non - mutually exclusive), which matches the description.

Answer:

The fourth Venn diagram (the one with circles A, B, C where A and B don't overlap, B and C overlap)