which type of triangle has side lengths of 2 in, 5 in, and 6 in?

An obtuse triangle if I remember correctly.

Let "a", "b" and "с"  be sides of the triangle ("с" is the longest side).
The triangle will be:
right if       a² + b² = c²
аcute if     a² + b² > c²    
obtuse if   a² + b² < c²    

We have a=2, b=5 and c=6

2² + 5² = 4 + 25 = 29
and
6² = 36

29 < 36   ⇒  obtuse triangle.

Hope this helps.

It is 2 out of 8 she will pick green and 3 out of 7 she will pick green but red and green would be 5 out of 5 so 50% chance