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Are you saying that if you did that in a driving test you wouldn'd get failed?!
Wrong. You would, every time.
When the lights are changing you should stop, especially if, like our vocal friend here, you won't make it through the junction before the light turns to red.
He clearly had time to stop, but decides to race through on the turn.
Your interpretation of the second light is wrong too, it's clearly for the ahead only lane that the taxi is in, and it's changed to red before he's even halfway through the junction.
http://fat.gfycat.com/DamagedUncomfortableHyrax.gif
^ this is an amber (arguably) too late to stop for.
http://cdn.makeagif.com/media/9-11-2014/iQzlSc.gif
^ ...and this red is for that first junction. He/she is in the yellow box here.