Find tha area of large and small squares:
[tex] A_{large}=15.2\cdot 15.2=231.04,\\ A_{small}=5.98\cdot 5.98=35.7604 [/tex].
The shaded region has area [tex] A_{shaded}=A_{large}-A_{small}=231.04-35.7604=195.2796 [/tex].
Use the geometric probability to determine the probability that randomly selected point will be in the shaded region:
[tex] Pr=\dfrac{A_{shaded}}{A_{large}}=\dfrac{195.2796}{231.04}= 0.8452 [/tex].
In percent 0.8452 is 84.52%. Round 84.52% to the nearest tenth and get 84.5%.
Answer: 84.5%
