Question

1. determine whether the following events described are mutually exclusive or non mutually exclusive.

picking a t-shirt out. the t-shirt is made of cotton.
○ mutually exclusive
○ non mutually exclusive

Explanation:

Mutually exclusive events cannot happen at the same time. Here, the only event described is picking a cotton t-shirt—there are no two distinct events that could overlap or conflict. However, interpreting the question as implicitly contrasting "picking a t-shirt" and "the t-shirt being cotton" is incorrect; these are not separate events. Correctly, since there is no competing event, but if we assume the question intends to ask if picking this t-shirt and it being cotton are overlapping (they are the same scenario), but by definition, mutually exclusive events are distinct events with no overlap. Since there is only one event framing, but the key is: a t-shirt can be picked and be cotton, and there is no other event that cannot co-occur. Wait, no—rephrasing: mutually exclusive events are two events where one happening means the other cannot. Here, there is only one event (picking a cotton t-shirt) but if we misread, no—actually, the question likely means: is "picking a t-shirt" and "the t-shirt is cotton" mutually exclusive? No, they can happen together. But no, the correct framing: mutually exclusive events are two separate events with no intersection. Since the scenario only describes one outcome, but the options are about the event pair. Wait, no—actually, the question is asking if the act of picking a t-shirt and the t-shirt being cotton are mutually exclusive? No, they are not mutually exclusive because they can occur simultaneously (you pick a t-shirt that is cotton). Wait, no—no, the events here are not two separate events. Wait, the question says "the following events described"—the events are: 1) Picking a t-shirt out. 2) The t-shirt is made of cotton. These are not mutually exclusive because you can pick a t-shirt that is cotton (both happen at the same time). So they are non mutually exclusive.

Answer:

non mutually exclusive