The figure below shows a shaded circular region inside a larger circle:

A shaded circle is shown inside another larger circle. The radius of the smaller circle is labeled as r and the radius of the larger circle is labeled as R. On the right side of the image is written r equal to 3 inches and below r equal to 3 inches is written R equal to 5 inches.

What is the probability that a point chosen inside the larger circle is not in the shaded region?

24%
36%
50%
64%

Stephen flips this counter 24 times. What is the probability that the 25th flip will result in the counter landing on orange side up?

fraction 24 over 25
fraction 1 over 24
fraction 1 over 4
fraction 1 over 2
=======================================
LOL THINK ! This is just written to confuse you. Every time you flip it the probability is 1/2

100 [ 25 pi - 9 pi ] / 25 pi = 100 (16/25) = 4*16 = 64%

i have 2 more questions:

Stephen has a counter that is orange on one side and brown on the other. The counter is shown below:

A circular counter is shown. The top surface of the counter is shaded in a lighter shade of gray and Orange is written across this section. The bottom section of the counter is shaded in darker shade of gray and Brown is written across it.

Stephen flips this counter 24 times. What is the probability that the 25th flip will result in the counter landing on orange side up?

fraction 24 over 25
fraction 1 over 24
fraction 1 over 4
fraction 1 over 2

Question 12(Multiple Choice Worth 5 points)
(05.01 MC)

An architect is creating a scale drawing of a school computer lab. The length of the lab is 32 feet and the width of the lab is 48 feet. If each 16 feet of the lab equals 2 centimeters on a scale drawing, which of the following drawings is the scale drawing of the computer lab?

A rectangle is shown. The length of the rectangle is labeled as length equal to 2 cm and the width is labeled as width equal to 3 cm.
A rectangle is shown. The length of the rectangle is labeled as length equal to 4 cm and the width is labeled as width equal to 6 cm.
A rectangle is shown. The length of the rectangle is labeled as length equal to 16 cm and the width is labeled as width equal to 32 cm.
A rectangle is shown. The length of the rectangle is labeled as length equal to 24 cm and the width is labeled as width equal to 40 cm.

1 cm = 8 ft

so
divide feet by 8 to get cm
32ft by 48ft is 4 cm by 6 cm

To find the probability that a point chosen inside the larger circle is not in the shaded region, we need to compare the areas of the shaded region and the entire larger circle.

The area of a circle is calculated using the formula A = πr^2, where r is the radius of the circle.

In this case, the radius of the smaller circle is given as 3 inches (r = 3) and the radius of the larger circle is given as 5 inches (R = 5).

The area of the shaded region can be calculated as the difference between the area of the larger circle and the area of the smaller circle. So, the area of the shaded region is A(s) = πR^2 - πr^2.

Plugging in the values, we have A(s) = π(5^2) - π(3^2) = 25π - 9π = 16π square inches.

The area of the entire larger circle is A(l) = πR^2 = π(5^2) = 25π square inches.

Therefore, the probability that a point chosen inside the larger circle is not in the shaded region is given by the ratio of the areas:

P = (A(l) - A(s)) / A(l) = (25π - 16π) / 25π = 9π / 25π = 9 / 25

Simplifying further, we find that the probability is 9/25, which is equivalent to 36%.

Therefore, the correct answer is 36%.

thank you so much