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 and b\: (b) event \a or b\: (c) the complement of the event a:

Explanation:

Step1: List elements of event A

Event A (odd - numbered marbles): 1, 3, 5, 7

Step2: List elements of event B

Event B (numbers from 3 to 6): 3, 4, 5, 6

Step3: Find "A and B"

Intersection of A and B: 3, 5

Step4: Find "A or B"

Union of A and B: 1, 3, 4, 5, 6, 7

Step5: Find complement of A

Complement of A (even - numbered marbles): 2, 4, 6, 8

Answer:

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