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
french hornfrench horn
from the
instrumentinstrument
assembly line and getting one that is free of defects. Randomly selecting
aa
french hornfrench horn
from the
instrumentinstrument
assembly line and getting one with a
dented belldented bell.
Choose the correct answer below.

A. The events are not disjoint. The first event is not the complement of the second.
B. The events are not disjoint. They can occur at the same time.
C. The events are disjoint. The first event is the complement of the second.
D. The events are disjoint. They cannot occur at the same time.

D.The events are disjoint. They cannot occur at the same time.

Step-by-step explanation:

Event A = randomly selecting a french horn from the instrument assembly line and getting one that is free of defects

Event B = randomly selecting a french horn from the instrument assembly line and getting one with a dented bell

The two Events are disjoint because they cannot happens at the same time. It is either a french horn is free of defects or it has defects.

Disjoint event is when two event cannot occur at the same time.

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.