I believe the diagram on Wikipedia with the blue and red coils is correct, and the gray image attached to the first post is incorrect.
This is because the back EMF will always try to oppose the applied EMF, and therefore the induced current will tend to flow in the opposite direction to the applied current. If the primary current is in a clockwise direction the secondary current will be in an anti-clockwise direction. (But turn direction must always be considered relative to the flux direction in the magnetic loop. Before considering clockwise or anticlockwise one must first be facing in the direction of the magnetic flux.)