A politician considers running for election and has decided to give it two tries. He figures that the current conditions are favorable and that he has about a 60% chance of winning this election as opposed to a 50-50 chance in the next election. However, if he does win this election, he estimates that there ought to be a 75% chance of being reelected. (a) Find the probability that he wins both elections. (b) Find the probability that he wins the first election and loses the second. (c) If you learn that he won the second election, what is the probability that he won the first election? (d) If he loses the first election, what is the probability that he wins the second?