Point M is chosen random inside the square ABCD. The length of the big and small squares are 10cm and 6cm respectively. What is the probability that point M will be inside the shaded region?

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

See attachment for diagram (not drawn to scale)

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

So, the probability that M is on the shaded area is:

--- i.e. the shaded area divided by the total area

Read more about probability at: