What must I do at an intersection where there is both a sign prohibiting right turns on red and a right green arrow?
At all intersections with traffic lights and a green arrow, motorists have priority when turning in the direction of the arrow. Since the green arrow indicates that the manoeuvre is protected, there is no possible conflict with other vehicles or with pedestrians.
Consequently, when the right green arrow is on, the No Right Turn on Red Light sign should not be taken into account, because motorists can turn right safely and pedestrians cannot cross the roadway. However, when the right green arrow disappears and the red light is on, motorists cannot turn right and must comply with the prohibition in effect.
What must I do at an intersection when the pedestrian signal is on (white outline or flashing hand)?
As a motorist, you must first stop at the stop line when the traffic light is red. Then, you must check if a sign prohibits a right turn on red and if there is a time indication for the prohibition.
If there are no signs prohibiting the right turn on red, you can make a right turn after you have yielded to pedestrians crossing the roadway. Pedestrians always have priority when the pedestrian signal authorizes them to cross. If there are no pedestrians, you can turn right.
In short, a right turn on red is allowed, even when the pedestrian signal is on, as long as there are no pedestrians, and provided that there are no signs prohibiting it and that you turn safely. If there are pedestrians, you must first let them cross the roadway before turning right.