Question

GEOMETRIC PROBABILITY URGENT?

Answer 1

Find tha area of large and small squares:

$A_{large}=15.2\cdot 15.2=231.04,\\ A_{small}=5.98\cdot 5.98=35.7604$.

The shaded region has area $A_{shaded}=A_{large}-A_{small}=231.04-35.7604=195.2796$.

Use the geometric probability to determine the probability that randomly selected point will be in the shaded region:

$Pr=\dfrac{A_{shaded}}{A_{large}}=\dfrac{195.2796}{231.04}= 0.8452$.

In percent 0.8452 is 84.52%. Round 84.52% to the nearest tenth and get 84.5%.

Answer: 84.5%