Probability Involving Area

Situation
If a chord is selected at random on a fixed circle what is the probability that its length exceeds the radius of the circle?

  1. Assume that the distance of the chord from the center of the circle is uniformly distributed.
    A.   0.5 C.   0.866
    B.   0.667 D.   0.75
  2. Assume that the midpoint of the chord is evenly distributed over the circle.
    A.   0.5 C.   0.866
    B.   0.667 D.   0.75
  3. Assume that the end points of the chord are uniformly distributed over the circumference of the circle.
    A.   0.5 C.   0.866
    B.   0.667 D.   0.75

 

Probability: The length of chord exceeds the radius | Civil Engineering Board Exam Problem

Probability that a Point Inside a Square Will Subtend an Obtuse Angle to Adjacent Corners of the Square

Problem
Point P is randomly chosen inside the square ABCD. Lines AP and PB are then drawn. What is the probability that angle APB is obtuse?
 

Subscribe to RSS - Probability Involving Area