The question is an illustration of probability. The probability of an event is the calculated by dividing the required outcomes by the possible outcomes.
The probability that M will be in the shaded region is 0.64
The given parameters from the question are:
Side length of the big square = 10 cm
Side length of the small square = 6 cm
<em>See attachment for diagram (not drawn to scale)</em>
First, we calculate the area of the squares using:
![Area=Length^2](https://tex.z-dn.net/?f=Area%3DLength%5E2)
The area of the big square is:
![A_1=10^2](https://tex.z-dn.net/?f=A_1%3D10%5E2)
----- this represents the possible outcomes
The area of the small square is:
![A_2=6^2](https://tex.z-dn.net/?f=A_2%3D6%5E2)
![A_2=36](https://tex.z-dn.net/?f=A_2%3D36)
The area of the shaded region is the difference between the areas of the big and small squares:
![A = A_1 - A_2](https://tex.z-dn.net/?f=A%20%3D%20A_1%20-%20A_2)
![A = 100 - 36](https://tex.z-dn.net/?f=A%20%3D%20100%20-%2036)
----- this represents the possible outcomes
<u>So, the probability that M is on the shaded area is:</u>
--- i.e. the shaded area divided by the total area
![P(Shaded) = \frac{64}{100}](https://tex.z-dn.net/?f=P%28Shaded%29%20%3D%20%5Cfrac%7B64%7D%7B100%7D)
![P(Shaded) = 0.64](https://tex.z-dn.net/?f=P%28Shaded%29%20%3D%200.64)
Read more about probability at:
brainly.com/question/16693319