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Papessa [141]
1 year ago
11

A number cube with faces labeled 1 to 6 is rolled once.

Mathematics
1 answer:
Zepler [3.9K]1 year ago
4 0

Answer:

a)  A ∪ B = {2, 4, 5, 6}

b)  A ∩ B = {6}

c)  \sf B^c = {1, 3, 5}

Step-by-step explanation:

Set notation is used in math to list numbers, objects or outcomes.

It uses <u>curly brackets</u> called "braces". Objects placed within the braces are the elements of the set.

The listing method of <u>set notation</u> simply lists the numbers in the set.

The three dots "..." means it is infinite (goes on forever).

Given:

  • A number cube with faces labeled 1 to 6.

Therefore the set of all possible outcomes is {1, 2, 3, 4, 5, 6}.

<u>Event A</u>

The number rolled is <u>greater than 4</u>.

Therefore, the set of outcomes for event A is {5, 6}.

<u>Event B</u>

The number rolled is <u>even</u>.

Therefore, the set of outcomes for event B is {2, 4, 6}.

<u>Part (a)</u>
Event "A or B" means the outcomes in A or B or both.

⇒ A ∪ B = {2, 4, 5, 6}

<u>Part (b)</u>

Event "A and B" means the outcomes in both A and B.

⇒  A ∩ B = {6}

<u>Part (c)</u>

The complement of event B means everything that is not in B.

\sf \implies B^c =<em> </em>{1, 3, 5}

Learn more about set notation here:

brainly.com/question/27913822

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