Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Suppose you have a dart board hanging on a wall If you throw a dart randomly at the wall, and assuming your dart lands somewhere on the wall , what is the probability that your dart will land a) in region X b) in region c) in region Z

Suppose You Have A Dart Board Hanging On A Wall If You Throw A Dart Randomly At The Wall And Assuming Your Dart Lands Somewhere On The Wall What Is The Probabil class=

Sagot :

MrRoyal

Probabilities are used to determine the chances of events

  • The probability of landing in region X is 0.087
  • The probability of landing in region Y is 0.109
  • The probability of landing in region Z is 0.153

The probability of landing in region X

The area of region X is:

[tex]A = \pi r^2[/tex]

So, we have:

[tex]X = 3.14 * 4^2[/tex]

[tex]X = 50.24[/tex]

The area of the dart is:

[tex]A = Length * Width[/tex]

[tex]A = 24 * 24[/tex]

[tex]A = 576[/tex]

The probability of landing in region X is then calculated as:

[tex]P(X) = 50.24/576[/tex]

[tex]P(X) = 0.087[/tex]

The probability of landing in region Y

The area of region Y is:

[tex]A = \pi R^2 - \pi r^2[/tex]

So, we have:

[tex]Y = 3.14 * 6^2 -3.14 *4^2[/tex]

[tex]Y = 62.8[/tex]

The probability of landing in region Y is then calculated as:

[tex]P(Y) =62.8/576[/tex]

[tex]P(Y) =0.109[/tex]

The probability of landing in region Z

The area of region Z is:

[tex]A = \pi R^2 - \pi r^2[/tex]

So, we have:

[tex]Z = 3.14 * 8^2 -3.14 *6^2[/tex]

[tex]Z = 87.92[/tex]

The probability of landing in region Z is then calculated as:

[tex]P(Z) = 87.92/576[/tex]

[tex]P(Z) = 0.153[/tex]

Hence, the probability of landing in region Z is 0.153

Read more about probabilities at:

https://brainly.com/question/25870256

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.