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.

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}

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this