The problem involves determining outcomes for a probability scenario in which a marble is selected from a bag containing marbles numbered from 1 to 8. Here's a breakdown of the events and the solution:

• Event A: The marble selected has an even number.
• Event B: The marble selected has a number from 3 to 6.

Event A:

The even numbers from the set {1, 2, 3, 4, 5, 6, 7, 8} are:

• Even numbers: {2, 4, 6, 8}

Event B:

The numbers from 3 to 6 are:

• Numbers: {3, 4, 5, 6}

(a) Event "A and B" (intersection of A and B):

This refers to the numbers that satisfy both Event A and Event B, meaning the marble is even and is between 3 and 6:

• Intersection of {2, 4, 6, 8} and {3, 4, 5, 6} = {4, 6}

Thus, the outcome for Event "A and B" is {4, 6}.

(b) Event "A or B" (union of A and B):

This refers to the numbers that satisfy either Event A or Event B, meaning the marble is even or is between 3 and 6:

• Union of {2, 4, 6, 8} and {3, 4, 5, 6} = {2, 3, 4, 5, 6, 8}

Thus, the outcome for Event "A or B" is {2, 3, 4, 5, 6, 8}.

Would you like further details or explanations on this problem?

Here are 5 related questions for practice:

1. What is the probability of drawing a marble with an even number?
2. How many possible outcomes are there in total?
3. What is the complement of Event A?
4. What is the complement of Event B?
5. If a marble is chosen at random, what is the probability it is either even or between 3 and 6?

Tip: When dealing with probability questions involving unions and intersections, always visualize the sets or use Venn diagrams to better understand the relations.