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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 the outcome.
Consider the following events.
Event X: The letter selected comes before "E".
Event Y: The letter selected is found in the word "FACE".
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.

Sagot :

Answer:

Step-by-step explanation:

U= {A,B,C,D,E,F,G}

X = {A, B, C, D}

Y = {A, C, E, F}

a) X or Y = {A, B, C, D} and {A, C, E, F} = {A, B, C, D, E, F}

B) X and Y = {A, B, C, D} or {A, C, E, F} = {A, C}

c) Complement of X = {A,B,C,D,E,F,G} - {A, B, C, D} = {B,D,G}

Element in the given sets will be [tex]\left \{ A,B,C,D \right \}[/tex] and [tex]\left \{ A,C,E,F \right \}[/tex]

Given information,

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

X: The letter selected comes before "E".

Y: The letter selected is found in the word "FACE".

The outcomes in favour of X will be:

[tex]X=[/tex] [tex]\left \{ A,B,C,D \right \}[/tex]

The outcomes in favour of Y will be:

[tex]Y=\left \{ A,C,E,F \right \}[/tex]

Therefore,

Element in the given sets will be [tex]\left \{ A,B,C,D \right \}[/tex] and [tex]\left \{ A,C,E,F \right \}[/tex]

For further details refer to the link given below:

https://brainly.com/question/795909

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