Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Answer:
3.48%
Step-by-step explanation:
Probability = Area of hole / Area of board
= 3.14 x 2 x 2 / 12 x 30
= 12.56 / 360
= 0.0348
= 3.48%
30” x 12” = 360”
360” is the cornhole board so is therefore the denominator and the total size of the board.
If the hole has a diameter of 4 inches, we would divide by 2 to get the radius as the radius is 1/2 of the diameter. Once we have the radius (2 inches). We would then find the area of the hole to find the probability of a point being landed inside the hole.
The formula to find the area of a circle is
Area = pi • radius squared
So, A = 3.141 • 2 • 2 = 12.564”
The area of the circle is 12.564”
We could then do
12.564”
———— = 0.0349 = 3.49%
360”
This means there is a 3.49% chance of landing a point into the hole. We could subtract 100% by 3.49% and get 96.51%
OR
Since we know the area of the hole is 12.564”, we could simply subtract the cornhole board by the area of the hole and then divide that by the cornhole board.
360” - 12.564” = 347.436”
347.436”
————- = 0.9651 = 96.51%
360”
The probability of a point being on the board but not inside of the hole is a 96.51% chance (IF THERE IS NO BIAS VARIABLE MESSING WITH IT AND THERES AN EQUAL CHANCE OF LANDING A POINT).
360” is the cornhole board so is therefore the denominator and the total size of the board.
If the hole has a diameter of 4 inches, we would divide by 2 to get the radius as the radius is 1/2 of the diameter. Once we have the radius (2 inches). We would then find the area of the hole to find the probability of a point being landed inside the hole.
The formula to find the area of a circle is
Area = pi • radius squared
So, A = 3.141 • 2 • 2 = 12.564”
The area of the circle is 12.564”
We could then do
12.564”
———— = 0.0349 = 3.49%
360”
This means there is a 3.49% chance of landing a point into the hole. We could subtract 100% by 3.49% and get 96.51%
OR
Since we know the area of the hole is 12.564”, we could simply subtract the cornhole board by the area of the hole and then divide that by the cornhole board.
360” - 12.564” = 347.436”
347.436”
————- = 0.9651 = 96.51%
360”
The probability of a point being on the board but not inside of the hole is a 96.51% chance (IF THERE IS NO BIAS VARIABLE MESSING WITH IT AND THERES AN EQUAL CHANCE OF LANDING A POINT).
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.