Question

a number cube with faces labeled 1 to 6 is rolled once. the number rolled will be recorded as the outcome. consider the following events. event a: the number rolled is greater than 4. event b: the number rolled is even. 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 \a and b\: (b) event \a or b\: (c) the complement of the event b:

Explanation:

Step1: Identify elements of Event A

Event A has elements 5, 6 since number > 4.

Step2: Identify elements of Event B

Event B has elements 2, 4, 6 as they are even numbers.

Step3: Find "A and B"

Intersection of A and B is elements common to both. So "A and B" = {6}.

Step4: Find "A or B"

Union of A and B is all unique elements from both. So "A or B" = {2, 4, 5, 6}.

Step5: Find complement of B

Complement of B are elements not in B. So complement of B = {1, 3, 5}.

Answer:

(a) 6
(b) 2,4,5,6
(c) 1,3,5