The white ball will not move: at this time, the white ball should not rotate approximately at the moment of collision, and it is "in the middle" with the red ball or the colored ball (the speed direction is in a straight line with the line connecting the centers of the two balls). At this time, according to the conservation of momentum (approximation), the white ball loses speed, and the ball that is hit will move forward at the speed that the white ball hits it.
The white ball sometimes moves backward, sometimes sideways, and sometimes rolls forward with the hit ball: these situations all involve a certain rotation, and it is more complicated to analyze together with friction.