Question

PLEASE HELP FAST!
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 even 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.

Answer 1

Answer:

A and B: {4, 6}

A or B: {2, 3, 4, 5, 6, 8}

Complement of B: {1, 2, 7, 8}

Step-by-step explanation:

A and B refer to the elements that are in both A and B at the same time

The even numbers from 1 to 8 are {2, 4, 6, 8}

The numbers from 3 to 6 are {3, 4, 5, 6}

Look for the common elements between both sets.

A and B: {4, 6}

A or B is the union of the two sets

Join the elements of both sets

A or B: {2, 3, 4, 5, 6, 8}

The complement of B are all the elements that are not in B.

Write all the elements of the sample space except those of event B

Complement of B: {1, 2, 7, 8}