Topic 12: Geometric Probability

A square dartboard has a side length of 20 cm. A circle is inscribed within the square. What is the probability that a dart hitting the board randomly will land inside the circle?

A circular pizza has a radius of 12 inches. A slice is cut from the pizza with a central angle of 60 degrees. What is the probability that a randomly chosen point on the pizza is in the slice?

A rectangular swimming pool is 25 meters long and 10 meters wide. A deck of 2 meters width surrounds the pool. What is the probability that a person randomly walking in the area is on the deck?

• 61.6%

• 38.4%

• 77.2%

• 22.8%

A square garden has a side length of 60 meters. A circular pond with a radius of 15 meters is located at the center of the garden. What is the probability that a randomly chosen point in the garden is outside the pond?

• 27.7%

• 72.3%

• 80.4%

• 19.6%

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

• 75%
• 45%
• 50%
• 80%

Tags

CCSS.7.G.B.6

CCSS.7.SP.C.5

CCSS.7.SP.C.7

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

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

If you pick a point at random inside the large square, find the probability it is in the small square.

• 0

• 1/4

• 1/3

• 1/2

Tags

CCSS.7.G.B.6

CCSS.7.SP.C.5

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

• 15.3%
• 24.5%
• 26.9%
• 21.5%

Tags

CCSS.7.G.B.4

CCSS.7.G.B.6

CCSS.7.SP.C.5

CCSS.7.SP.C.7

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

• 94.8%
• 80%
• 60%
• 45.6%

Tags

CCSS.7.G.B.6

CCSS.7.SP.C.5

CCSS.7.SP.C.7

Use the spinner to find the probability of the pointer landing in regions A or C.

Tags

CCSS.7.SP.C.5