Suppose that Nicholas is a college senior with an 8 a.m. class he needs to attend regularly. But he is not a morning person and so leaves his apartment as late as possible to get to class on time. The time it takes to reach class depends on two traffic lights that he encounters on his drive. From past experience, he believes that the first light has a 0.7 probability of being green when he gets there and the second light has a 0.6 probability of being green when he gets there. He also believes that the colors of the two lights are independent.Describe what the concept of independence means in this context.Write out the sample space of possible outcomes with regard to the colors of the two lights that Nicholas encounters. (To keep things simple, assume that each light is either green or not green; because Nicholas is such a conscientious driver and always stops on yellow, we'll assume that getting a yellow light is the same as red.)