Probability that a point chosen at random in the square in the blue region is (0.75).
What is probability?
"Probability is the mathematical expression to represent the ratio of the number of favourable outcomes to the total number of outcomes."
Formula used
Area of a square= (side)²
Area of a right angled triangle = (1/2) × base × height
Probability = [tex]\frac{Number of favourable outcomes}{total number of outcomes}[/tex]
According to the question,
Each side of the given square = 8inches
Substitute the value in the formula we get,
Area of a square = (8)²
= 64 square inches
From the diagram we can see that,
Square is divided into four congruent right angled triangle.
Base of the right angled triangle = 4inches
Height of the right angled triangle = 8inches
Substitute the value in the formula we get,
Area of each right angled tringle = ( 1 / 2) × 4 × 8
= 16 square inches
Therefore,
Area of three right angled tringle = 3 × 16
= 48 square inches
Favourable outcome for blue region = Area of three right angled tringle
Total outcome = Area of a square
Substitute the value in the formula
Probability to choose point form the blue region = (48 / 64)
= 0.75
Hence, Probability that a point chosen at random in the square in the blue region is (0.75).
Learn more about probability here
https://brainly.com/question/11234923
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