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:
The area of the big square is:
----- this represents the possible outcomes
The area of the small square is:
The area of the shaded region is the difference between the areas of the big and small squares:
----- 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
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