<span>the question does not present the picture, but this
does not interfere with the resolution. </span>
Reading the question it is obvious that the blue region lies inside the larger square and outside the smaller square.
The region between the two squares is the blue region.
Step 1
Find the area of both squares.
Area of larger square = 8 x 8 = 64 in²
Area of smaller square = 2 x 2 = 4 in²
Subtracting the area of smaller square from larger one, we can find the area of blue square and further we can find the said probability.
Area of blue region = 64 - 4 = 60 in²
The probability that a randomly chosen point lies within the blue region = Area of blue region/Total area available
Therefore,
the probability that a point chosen at random is in the blue region
= 60/64 -------> 0.9375
the answer is
0.9375
