Jimmy rolls a pair of fair standard six-sided dice. what is the probability that the difference between the number of dots showing on the two dice is 2?

As " that the difference between the number of dots showing on the two dice is 2" we have (1;3), (3;1), (2;4), (4;2), (3;5), (5;3), (4;6), (6;4). That is 8 ways.
And we have 36 possibilities in all, the probability is 8/36= 2/9
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The circumcenter is not always inside the triangle. In fact, it can be outside the triangle, as in the case of an obtuse triangle, or it can fall at the midpoint of the hypotenuse of a right triangle.

Step-by-step explanation:

Like the centroid, the incenter is always inside the triangle. It is constructed by taking the intersection of the angle bisectors of the three vertices of the triangle. ... To see that the incenter is in fact always inside the triangle, let's take a look at an obtuse triangle and a right triangle.