Question

You are moving at a speed 2/3 c toward randy when randy shines a light toward you. at what speed do you see the light approaching you

Answer 1

I see the light moving exactly at speed equal to c.

In fact, the second postulate of special relativity states that:
"The speed of light in free space has the same value c in all inertial frames of reference."

The problem says that I am moving at speed 2/3 c, so my motion is a uniform motion (constant speed). This means I am in an inertial frame of reference, so the speed of light in this frame must be equal to c.