Exploring Probability in Geometry: Length, Area & Volume

If segment AD is 20 units and segment BC is 5 units, what is the probability of selecting a point on BC?

• 2/5

• 5/20

• 1/5

• 1/4

What is the probability of a point lying on segment AB if AB is 8 units and AD is 20 units?

• 3/5

• 8/20

• 2/5

• 1/4

If segment AD is 20 units long, and segment AB is 8 units, what fraction represents the probability of a point falling on AB?

• 3/5

• 1/2

• 1/4

• 2/5

If point R must be within six units of point B on segment AC, and segment AC is 12 units, what is the correct probability?

• 5/6

• 10/12

• 2/3

• 3/4

If a point R is to be chosen within six units of point B on segment AC, and segment AC is 12 units long, what is the probability that R is within this range?

• 10/12

• 5/6

• 2/3

• 3/4

For a rectangle of area 60 square units and a triangle within it of area 15 square units, what is the probability of randomly selecting a point in the triangle?

• 1/4

• 1/3

• 15/60

• 1/2

Given a rectangle with an area of 60 square units and a triangle inside it with an area of 15 square units, what is the probability that a randomly chosen point inside the rectangle is also inside the triangle?

• 1/2

• 1/5

• 1/3

• 1/4

In a cube with side length 12 inches and a sphere of radius 5 inches inside it, what is the probability of a point being inside the sphere?

• 75%

• 25%

• 69.7%

• 30.3%

What is the probability of a point being outside the sphere but inside the cube?

• 30.3%

• 25%

• 50%

• 69.7%

In a cube with a side of 12 inches and a sphere with a radius of 5 inches inside, what is the probability that a randomly chosen point in the cube is outside the sphere?

• 69.7%

• 20%

• 30.3%

• 50%