Results 1 to 2 of 2

Math Help - Geometric Probability

  1. #1
    Newbie
    Joined
    Feb 2010
    Posts
    1

    Geometric Probability

    What is the probability for a point chosen at random is in the smallest circle? These are in inches. Sorry for the crappy diagram..

    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Feb 2010
    Posts
    29
    Quote Originally Posted by lynn0218 View Post
    What is the probability for a point chosen at random is in the smallest circle? These are in inches. Sorry for the crappy diagram..

    If you assume that any point can be chosen from the diagram you drew with equal probability, the probability that it will land in the smaller circle is just the area of the smaller circle divided by the total area, i.e.

    X = \text{event that randomly chosen point lands in the inner circle}

    P(X) = \frac{\pi r_s^2}{\pi r_t^2} = \frac{4\pi}{36\pi} = \frac{1}{9}

    here r_s = 2 is the small circle radius and r_t = 6 is the total circle radius.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. help with geometric probability
    Posted in the Statistics Forum
    Replies: 3
    Last Post: November 14th 2011, 10:53 AM
  2. Geometric probability.
    Posted in the Statistics Forum
    Replies: 10
    Last Post: December 20th 2010, 09:16 AM
  3. Replies: 0
    Last Post: December 6th 2010, 04:57 PM
  4. Geometric probability.
    Posted in the Statistics Forum
    Replies: 4
    Last Post: May 8th 2009, 03:10 AM
  5. geometric probability
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: December 27th 2007, 11:23 AM

Search Tags


/mathhelpforum @mathhelpforum