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

The dartboard above is made up of three concentric circles with radii 1, 3, and 5 and Assuming that a dart thrown will land randomly on the dartboard, what is the probability that it lands in the green region?

• 0.32

• 0.36

• 0.40

• 0.60

If you throw a dart at the square design below, what is the probability that you hit the middle region?

• 0.75

• 0.4375

• 0.5625

• 0.28125

• 59.3%

• 93.5%

• 53.9%

• 39.5%

Find the area of the segment.

• 95.1 cm²

• 10.3 cm²

• 28.3 cm²

• 2.8 cm²

Find the probability it lands in the shaded region?

• 17/20

• 170/200

• 3/20

• 30/200

Find the probability of a point chosen at random being selected in the non-shaded area. (Within the circle of radius 14)

• 1/2

• 49/14

• 7/196

• 1/4

Calculate the probability to the nearest hundredth %.

P(of landing on the board, but not in a circle) = ? Measures are given for diameters.

• 79.64%

• 84.45%

• 18.55%

• 52.36%