Answer
a. $\frac{1}{25}$
b. $48$
c.$ \frac{24}{25}$
Work Step by Step
23.a. There is a total of 50 states. 50 is therefore the denominator of the fraction. Of the 50 states, 2 states are not adjacent to any other states. 2 is the numerator of the fraction. So, the fraction of states not adjacent to other states is
$ \frac{2}{50}$
This can be simplified to
$ \frac{2}{50}= \frac{2 (1)}{2 (25)}= \frac{1}{25}$
23.b. 2 states are not adjacent to any other states. Therefore, the remaining states are adjacent to other states. To calculate the number of remaining states:
$ 50- 2= 48$
23.c. 48 states are adjacent to other states. The total number of states is 50. So, the fraction of states adjacent to other states is
$ \frac{48}{50}$
This can be simplified to
$ \frac{48}{50}= \frac{2 (24)}{2 (25)}= \frac{24}{25}$
