Purchase Solution

The probability of hitting the bull's eye

Not what you're looking for?

Ask Custom Question

Consider the experiment of throwing a dart at a circular dartboard of radius 1. Assume that in the experiment, the dart always hits the board, and the probability of the dart hitting a given region is proportional to the area of that region.

(a) Find a mathematical description for the sample space in this experiment.
(b) Find a formula for the probability of the dart hitting a given region.
(c) Suppose that the bull's eye is a disk of radius 0.05 . Find the probability of getting a bull's eye.
(d) Find the probability of hitting a particular point (x,y) on the dartboard.

Purchase this Solution

Solution Summary

The probability of hitting the bull's eye is clearly demonstrated in this solution.

Solution provided by:
  • BSc, University of Bucharest
  • MSc, Ovidius
  • MSc, Stony Brook
  • PhD (IP), Stony Brook
Recent Feedback
  • "Thank you "
  • "Thank You Chris this draft really helped me understand correlation."
  • "Thanks for the prompt return. Going into the last meeting tonight before submission. "
  • "Thank you for your promptness and great work. This will serve as a great guideline to assist with the completion of our project."
  • "Thanks for the product. It is an excellent guideline for the group. "
Purchase this Solution

Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.