A) a fair die has six sides labeled 1 through 6. what is the sample space (s) if the die is thrown once? b) list the possible outeomes for the following events) a = the event that the number thrown is even: b = the event that the number thrown is at least 2: c- an odd number greater than 3 a n b: auc: not a: a) determine the following probabilities i) p(a) ii) p(c) iv) use the general addition rule to find p(a ub) e) are a and b mutually exclusive? explain