3. In each problem below, you are given two events. You must decide if the events are disjoint or not disjoint. After this, decide if the events are independent or dependent. Explain your reasoning. a. Exactly two candidates are running to be president of the US. A is the event that the rst candidate wins the election. 3 is the event that the second candidate wins the election. [Assume ties do not occur.) b. You rule a fair, four-sided die {labeled 2 5). A is the event you roll an even number. B is the event you roll a prime number. s. Your friend randomly picks an integer in the set {1,2, 3,. .. 30,21}, where each choice is equally likely. A is the event that the number is divisible by 3. B is the event that the units digit of the number chosen is \"1"