title: probabilty of a point inside a non-convex polygon such that all rays coming from that point combinedly hit all sides of the polygon
body: <p><a href="http://i.stack.imgur.com/wNDNF.png" rel="nofollow">like in this image rays coming from point P cannot hit side AE directly so point p does not satisfy the condition </a>probability of a point inside a non-convex polygon such that all rays coming from that point combinedly hits all sides of the polygon.</p>
  
  <p>If polygon is convex than i think that rays coming from any point inside the polygon combinedly will hit all sides .
  I am interested in knowing for concave polygon case.
  <strong>We are given coordinates of vertex of the polygon.</strong></p>