Geometric Probability Word Problems

Find the geometric probability of a marble falling on the shaded region of the figure. 

• 75%
• 45%
• 50%
• 80%

If a stone is dropped at random on the arrangement of tiles shown, what is the probability the stone lands on a black tile?

• 5/9
• 4/9
• 1/2
• 1/9

This game board is made up of concentric circles. The center circle has a diameter of 4 inches. Each successive ring has a radius 2 inches greater than the ring before. Find the probability of scoring 80 points.

• 2/3
• 1/3
• 3/4
• 1/4

Find the geometric probability of a marble falling on the shaded region of the figure. 

• 15.3%
• 24.5%
• 26.9%
• 21.5%

Find the probability that a point K selected randomly on AE , is on AC. Express your answer as a fraction.

• 1/2
• 3/4
• 4/8
• 3/8

Find the probability that a point K selected randomly on AE , is on BC. Express your answer as a fraction.

• 1/2
• 2/4
• 4/8
• 3/8

Find the probability that a randomly chosen point in the figure lies in the shaded region.

• 94.8%
• 80%
• 60%
• 45.6%

Find the probability that a point chosen at random on the segment satisfies the inequality : x ≤ 5

• 40%
• 50%
• 30%
• 60%

Find the probability that a point chosen at random on the segment satisfies the inequality : x + 1 ≥ 7

• 37.5%
• 36.9%
• 38.5%
• 40%

Find the probability that a randomly chosen point in the figure lies in the shaded region.

• 52.3%
• 51.4%
• 47.6%
• 45.7%