There are three structural elements: S, S2, and S3, and twO weathertightness elements: W, and W2. Event A is defined as "at least one weathertightness" and event Bis defined as "exactly one weathertightness". There are two elements to check. a. What is the sample space for this experiment? b. Write the sets A and B in set notation. c. Write BC in set notation. d. Write AUB in set notation. Simplify the result using events A and B. e. Write AnB in set notation. Simplify the result using events A and B. f. Find the probability that both checks are for weathertightness. g. Find the probability that both checks are of the same type, i.e. both weathertightness or both structural.