(b) find the probability that the person is not a clerk. (not a clerk)= 1-P (clerk) P = 1- = - = = Example 3: A probability experiment is conducted in which the sample space of the experiment is . Let event, event, and event (a) List the outcome in. Are mutually exclusive? {2, 3, 5, 6, 7} {5, 6, 7, 8} E = F = Since there are common elements of 5, 6, and 7 between and E F, and are not mutually exclusive. E F (b) Are mutually exclusive? Explain. Yes, there is no common element between and F G. (c) List the outcome in. Find by counting the number of outcomes in. {2, 3, 5, 6, 7, 8} E or F = (E or = 6 N F) (S)= 12 N (E or = = or 0.5 P F) (d) Determine using the General Addition Rule. or = (E) + (F) (E and P( E F) P P P F) – = + - = = or 0.5 (e) List the outcomes in. Find by counting the number of outcomes in. = {1, 4, 8, 9, 10, 11, 12} (= = P (f) Determine using the Complement Rule. (= 1- (E) P P = 1 - = - =
(b) find the probability that the person is not a clerk. P (not a clerk)= 1-P (clerk) = 1- = - = = Example 3: A probability experiment is conducted in which the sample space of the experiment is . Let event, event, and event (a) List the outcome in. Are mutually exclusive? E = {2, 3, 5, 6, 7} F = {5, 6, 7, 8} Since there are common elements of 5, 6, and 7 between E and F, E and F are not mutually exclusive. (b) Are mutually exclusive? Explain. Yes, there is no common element between F and G. (c) List the outcome in. Find by counting the number of outcomes in. E or F = {2, 3, 5, 6, 7, 8} N (E or F) = 6 N (S)= 12 P (E or F) = = or 0.5 (d) Determine using the General Addition Rule. P( E or F) = P (E) + P (F) – P (E and F) = + - = = or 0.5 (e) List the outcomes in. Find by counting the number of outcomes in. = {1, 4, 8, 9, 10, 11, 12} P (= = (f) Determine using the Complement Rule. P (= 1- P (E) = 1 - = - =