On vacations, Ann travels either to North or to South from her home. Each time, to choose where to go, she rolls a die. If the die shows one or two, Ann travels to North. If the die shows a number greater than two, she travels to South Suppose that the probability that there will be rainy on vacation in North is 3/4, while for South the same probability is 1/4. b) Let us consider the conditional probability that Ann travelled to North given that it was rainy. Not calculating anything, just say whether you expect this probability to be smaller than 1/3, or larger than 1/3, or equal to 1/3, and comment your answer. (Hint. You may (and should) proceed just from common sense.) Larger, because the condition is in favor that she travelled to North. Smaller, because the condition is not in favor that she travelled to North. O Equal, because the events under discussion (rainy and travel to North) are independent