Example Question with answer, My problem is at the bottom:

A number cube with faces labeled1to6is rolled once.

The number rolled will be recorded as theoutcome.

Consider the followingevents.

EventA: The number rolled is greater than4

EventB: The number rolled is even.Give the outcomes for each of the following events.

If there is more than one element in theset, separate them with commas.

(a)Event "AandB":

(b)Event "A orB":

(c)Thecomplementof the eventB:

EXPLANATION

Thesample spaceis the set of all possible outcomes.

In this case, the sample space is,1,2,3,4,5, 6.

The eventA

is "The number rolled is greater than4."

The outcomes in this event are5and6

The eventB is "The number rolled is even."

The outcomes in this event are2,4,and6

.(a)Event "A andB"

The outcomes in the event "

AandB" are the outcomes from eventA

that also occur in eventB.

So the outcome in the event "AandB" is6

Event "AandB":6

(b)Event "A orB"

Outcomes in the event "AorB" are any outcomes from eventA

along with any outcomes from eventB.

So the outcomes in the event "AorB" are2,4,5,and6

Event "AorB":,2,4,5, 6

(c)The complement of the eventB

The complement of the eventBis the event consisting of all possible outcomesnotin the eventB

So the outcomes in the complement of the eventB are1,3,and5

The complement of the eventB:,1,3, 5

ANSWER

(a)Event "AandB":6

(b)Event "AorB":,2,4,5,6

(c)The complement of the eventB:,1,3, 5

My Problem that I am having trouble with:

A marble is selected from a bag containing eight marbles numbered1to8.

The number on the marble selected will be recorded as theoutcome.

Consider the followingevents.

EventA: The marble selected has an odd number.

EventB: The marble selected has a number from3to6

Give the outcomes for each of the following events.

If there is more than one element in theset, separate them with commas.

(a)Event "A and B":

(b)Event "A or B":

(c)Thecomplementof the eventA: