Answer: 9/35
Step-by-step explanation:
lengths: 2, 3, 5, 7, 11, 13, 17
triangle can be formed only if the sum of 2 sides is bigger than the other side.
Pick 3 randomly
It's not ordered
Total: āCā = 35
That form a triangle:
No triangle can be formed with the 2 inches stick.
triangles possible: 3, 5, 7 | 3, 11, 13 | 5, 7, 11 | 5, 11, 13 | 5, 13, 17 | 7, 11, 13 | 7, 11, 17| 7, 13, 17 | 11, 13, 17
Total: 9
prob = 9/35