events a and b are mutually exclusive. events b and c are non - mutually exclusive. which venn diagram could…

Answer:

The third Venn - diagram (from the left).

Explanation:

Step1: Recall mutual - exclusivity

Mutually exclusive events have no overlap. So, events A and B should not overlap.

Step2: Recall non - mutual exclusivity

Non - mutually exclusive events have an overlap. So, events B and C should have an overlap.

Step3: Analyze the diagrams

The first and second diagrams have A and B overlapping, so they are incorrect. The third diagram has A and B non - overlapping and B and C overlapping, which is correct. The fourth diagram has A and C overlapping in a way that doesn't match the given conditions, so it is incorrect.