The probabilities of landing in the shaded areas are: 0.64, 0.786, 0.785 and 0.1875
How to determine the probabilities?
The attached images represent the missing information in the question
1. Square side = 50 ft
Start by calculating the square area using:
a = 50² = 2500
The diameter of the circle is represented as :
d = 50√2
So, the circle area is:
A = π(d/2)²
A = π(25√2)² = 3925
The probability of landing in the shaded area is:
P = a/A
P = 2500/3925
P = 0.64
2. Square side = 40 ft
Start by calculating the square area using:
a = 40² = 1600
The diameter of the circle is represented as :
d = 40
So, the circle area is:
A = π(d/2)²
A = π(20)² = 1257
The probability of landing in the shaded area is:
P = a/A
P = 1257/1600
P = 0.786
3. Rectangle with 2 inscribed circles
Start by calculating the rectangle area using:
A = 20 * 10 = 200
The diameter of the circles is represented as :
d = 10
So, the circle areas is:
a = 2π(d/2)²
a = 2π * (10/5)² = 157
The probability of landing in the shaded area is:
P = a/A
P = 157/200
P = 0.785
4. Concentric circles
Start by calculating the area of the bigger circle using:
A = πr²
A = π * 20² = 400π
The shaded area is then calculated as :
a = π(10² - 5²)
a = 75π
The probability of landing in the shaded area is:
P = a/A
P = 75π/400π
P = 0.1875
Read more about probability at:
https://brainly.com/question/24441555
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