1. (5 points) There is an 85% chance of rain (R) and a 65% chance of lightning (L).Assume that the event that it rains is independent of the event that there is lightning. What is the probability that there will be no rain or lightning? Express your answer as an exact decimal. 2. (5 points) Use ayes' Theorem or a Tree diagram to calculate the indicated probability. Express your a answer as an exact decimal. P(AIB) =0.6, P(B) =0.2, P(AIB')=0.3 Find P(B'IA')? [Hint: Use a tree diagram]