a marble is selected from a bag containing eight marbles numbered 1 to 8. the number on the marble selected…

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 a:

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 a:

Answer

Explanation:

Step1: List elements of event A

Event A (odd - numbered marbles): $A={1,3,5,7}$

Step2: List elements of event B

Event B (numbers from 3 to 6): $B = {3,4,5,6}$

Step3: Find "A or B"

The union of A and B contains all elements that are in A or in B or in both. So, $A\cup B={1,3,4,5,6,7}$

Step4: Find "A and B"

The intersection of A and B contains all elements that are in both A and B. So, $A\cap B={3,5}$

Step5: Find the complement of A

The complement of A contains all elements in the sample - space that are not in A. The sample - space $S={1,2,3,4,5,6,7,8}$, so $A^c={2,4,6,8}$

Answer:

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