Question

a tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet. the letter selected will be recorded as the outcome. consider the following events. event x: the letter selected is found in the word \bag\. event y: the letter selected comes after \c\. give the outcomes for each of the following events. if there is more than one element in the set, separate them with commas. (a) event \x and y\: (b) event \x or y\: (c) the complement of the event x:

Explanation:

Step1: Identify elements of event X

The word "BAG" has letters B, A, G. So event X = {A, B, G}.

Step2: Identify elements of event Y

Letters after "C" from the first - seven letters of the alphabet are D, E, F, G. So event Y = {D, E, F, G}.

Step3: Find "X and Y"

Intersection of X and Y. We look for elements common to both X and Y. So X ∩ Y = {G}.

Step4: Find "X or Y"

Union of X and Y. Combine all unique elements from X and Y. So X ∪ Y = {A, B, D, E, F, G}.

Step5: Find complement of X

The sample - space S = {A, B, C, D, E, F, G}. Complement of X, denoted as X', contains elements in S that are not in X. So X' = {C, D, E, F}.

Answer:

(a) G
(b) A,B,D,E,F,G
(c) C,D,E,F