2. Geometric Probability “chance” Written as a percent between 0% and 100% or a decimal between 0 and 1. Area of “shaded” region Area of entire region Geometric Probability = Experimental - based on experiment Theoretical – formulas / theorems

3. How likely is it that a point chosen at random will be in the shaded region?

4. What is the probability that a point chosen at random will lie in the shaded region? 14 The hexagon is regular. 12.1 Area of a regular polygon: ½ perimeter apothem ½ 84 12.1 508.2 Area of a triangle: ½ base height ½ 14 12.1 84.7 Probability = 84.7 508.2 = 16.7%

5. AREA FORMULAS Rectangle: length width Parallelogram: base height Triangle: ½ base height Trapezoid: (base + base) / 2 height Square: side² or ½ diagonal² Rhombus: ½ diagonal diagonal height base height base height Area of regular polygons Area = ½ Perimeter of the polygon apothem

6. What is the probability that a point chosen at random will lie in the shaded region? 76 m 72 m 104 m 11 m 12 m 8 m Area of trapezoid = 12 + 8 2 11 = 110 Area of parallelogram = 104 72 = 7488 Probability = 110 7488 1.4%