Question

a marble is selected from a bag containing eight marbles numbered 1 to 8. the number on the marble selected will be recorded as the outcome. consider the following events. event a: the marble selected has an odd number. event b: the marble selected has a number from 3 to 6. 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 or b\: {} (b) event \a and b\: {} (c) the complement of the event b: {}

Explanation:

Step1: List elements of each event

Event A = {1, 3, 5, 7}, Event B = {3, 4, 5, 6}.

Step2: Find "A or B"

The union of A and B contains all elements in A or B. So A ∪ B = {1, 3, 4, 5, 6, 7}.

Step3: Find "A and B"

The intersection of A and B contains elements in both A and B. So A ∩ B = {3, 5}.

Step4: Find complement of B

The sample - space S = {1, 2, 3, 4, 5, 6, 7, 8}. The complement of B, denoted as B', contains elements in S but not in B. So B' = {1, 2, 7, 8}.

Answer:

(a) 1,3,4,5,6,7
(b) 3,5
(c) 1,2,7,8