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 even. event b: the number rolled is greater than 3. 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\:

Explanation:

Step1: List elements of event A

Event A (even - numbered outcomes): 2, 4, 6.

Step2: List elements of event B

Event B (outcomes greater than 3): 4, 5, 6.

Step3: Find "A and B"

The intersection of A and B contains elements that are in both A and B. So, "A and B" = 4, 6.

Step4: Find "A or B"

The union of A and B contains elements that are in A or B or both. So, "A or B" = 2, 4, 5, 6.

Answer:

(a) 4, 6
(b) 2, 4, 5, 6