Suppose that you encounter two traffic lights on your drive to school. From past experience, you judge that the probability is 0.45 that the first light will be red when you get to it, 0.35 that the second light will be red, and 0.25 that both lights will be red. 

a. Determine the probability that at least one light will be red. Show how to answer this with a probability table, with a Venn diagram, and with a probability rule. 

b. Describe (in words) the complement of the event that at least one light will be red. Also report the probability of this event (the complement of the event that at least one light is red).