Example Question with answer, My problem is at the bottoms.

A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.

The letter selected will be recorded as theoutcome.

Consider the followingevents.

EventX: The letter selected is found in the word "BEAD".

EventY: The letter selected comes after "D".

Give the outcomes for each of the following events.

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

(a)Event "XorY":

(b)Event "XandY":

(c)Thecomplementof the eventX:

EXPLANATION/ANSWER

Thesample spaceis the set of all possible outcomes.

In this case, the sample space is,A,B,C,D,E, F, G.

The eventXis "The letter selected is found in the word "BEAD"."

The outcomes in this event areA,B,D,andE.

The eventYis "The letter selected comes after "D"."

The outcomes in this event areE,F,andG

.(a)Event "XorY"

Outcomes in the event "

XorY" are any outcomes from eventX

along with any outcomes from eventY.

So the outcomes in the event "XorY " areA,B,D,E,F,andG

.Event "XorY":,A, B,D,E,F, G

(b)Event "XandY"

The outcomes in the event "XandY" are the outcomes from eventXthat also occur in eventY.

So the outcome in the event "XandY" isE

.Event "XandY":E

(c)The complement of the eventX

The complement of the eventXis the event consisting of all possible outcomesnotin the eventX.

So the outcomes in the complement of the eventXareC,F,andG

The complement of the eventX:,C,F, G

ANSWER

(a)Event "XorY":,A,B,D,E,F, G

(b)Event "XandY":E

(c)The complement of the eventX:,C,F, G

My problem that I am having trouble with:

A number cube with faces labeled1to6is rolled once.

The number rolled will be recorded as theoutcome.

Consider the followingevents.

EventA: The number rolled is odd.

EventB: The number rolled is less than4

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 or B":

(b)Event"A and B":

(c)Thecomplementof the eventB: