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Determine whether the two events are disjoint for a single trial.​ (hint: consider​ "disjoint" to be equivalent to​ "separate" or​ "not overlapping".)randomly selecting aa trumpettrumpet from the instrumentinstrument assembly line and getting one that is free of defects.randomly selecting aa trumpettrumpet from the instrumentinstrument assembly line and getting one with a dented belldented bell.

User Billybonks
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The hint is quite helpful; not overlapping is a good way of thinking about disjoint events. First of all, consider the first event. If one picks a trumpet that is free of defects, we have that the trumpet cannot have a dented bell. Similarly, if the trumpet has a dented bell, it cannot be free of defects; thus these events are disjoint since whenever one happens, we can be sure that the other does not. An example of non-disjoing events would be : 1) randomly picking a trumpet with a defect 2) randomly picking a trumpet with a dented bell. In this case, if the second event happens, we will have that the 1st event will also happen, so there is an overlap. A more generic example is the following: 1) randomly picking a tall person 2) randomly picking a brown-haired person. Since there are tall people with brown hair, there is overlap and thus the events are not disjoint.
User Clayton Hughes
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