Answer:
Probability = [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Length of segment AD = 12 units
Since, AC = CD
Therefore, AC = CD = [tex]\frac{12}{2}[/tex] = 6 units
Since, AB = BC
Therefore, AB = BC = [tex]\frac{1}{2}AC[/tex] = 3 units
Number of total segments = 5
Number of segments having measure greater than three = 3
(AC = CD = 6 units and AD = 12 units)
Probability that the measure of a segment is greater than 3
= [tex]\frac{\text{Number of segments measuring greater than 3}}{\text{Total number of segments}}[/tex]
= [tex]\frac{3}{5}[/tex]
