Results 1 to 2 of 2

Math Help - The expected area of the intersection between two shapes

  1. #1
    Newbie
    Joined
    Feb 2010
    Posts
    6

    The expected area of the intersection between two shapes

    Hi Everyone,

    Assume a unit space (the extent on each dimension is 1). Assume that we have two shapes in the space A and B. The area of A is 1/x and the area of B is 1/y (both x an d y are greater than or equal to 1). The shapes are randomly placed in the space. What is the expected area of intersection between A and B (i.e., the area of A\cap B).

    Is the following a right way to try solving this problem?

    The probability that a randomly placed point p lies in A is 1/x. The probability that p lies in B is 1/y. The probability that p lies in both A and B is 1/x*1/y.

    Please advise. Thank you

    Best Regards,
    mac
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Sep 2011
    Posts
    58

    Re: The expected area of the intersection between two shapes

    looks good to me
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Area of shapes?
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 13th 2010, 07:30 PM
  2. Area allocation with shapes
    Posted in the Calculus Forum
    Replies: 3
    Last Post: December 13th 2009, 01:32 PM
  3. Different shapes with equal area
    Posted in the Geometry Forum
    Replies: 4
    Last Post: June 24th 2009, 12:23 AM
  4. urgent help with area of shapes
    Posted in the Geometry Forum
    Replies: 8
    Last Post: October 27th 2008, 05:42 AM
  5. Area - composite shapes
    Posted in the Geometry Forum
    Replies: 6
    Last Post: August 26th 2007, 02:51 AM

Search Tags


/mathhelpforum @mathhelpforum