UOR: Stick Cutting Demo 1.4
Joint Sample Spaces:
STICK CUTTING EXAMPLE


DEMO 1
SAMPLE SPACE
DISCUSSION

CONDITIONS

SOLUTION
SIMULATION
contains java applets

VARIATIONS
Experiment 1
Experiment 2
Experiment 3
Experiment 4

REFERENCE
Urban OR
Section 2.1
Lecture

URBAN OPERATIONS RESEARCH
Logistical and Transportation Planning Methods


SCENARIO I: x1 < x2
  • A1: x1 < 0.5
  • A2: x2 - x1 < 0.5
  • A3: 1 - x2 < 0.5
SCENARIO II: x2 < x1
  • B1: x2 < 0.5
  • B2: x1 - x2 < 0.5
  • B3: 1 - x1 < 0.5

Since every point in the square is equally likely, being randomly chosen,
the probability of a triangle, P(), is simply the proportion of area shaded = 0.25.