Question

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?

Answer 1

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:

$Area=Length^2$

The area of the big square is:

$A_1=10^2$

$A_1=100$ ----- this represents the possible outcomes

The area of the small square is:

$A_2=6^2$

$A_2=36$

The area of the shaded region is the difference between the areas of the big and small squares:

$A = A_1 - A_2$

$A = 100 - 36$

$A = 64$ ----- this represents the possible outcomes

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

$P(Shaded) = \frac{A}{A_1}$ --- i.e. the shaded area divided by the total area

$P(Shaded) = \frac{64}{100}$

$P(Shaded) = 0.64$

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https://brainly.com/question/16693319