
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
I have 8 marbles numbered 1 through 8 in a bag. Suppose I take out two different marbles at random. What is the expected value of the sum of the numbers on the marbles, given that at least one of the marbles must be even-numbered?

Present the answer in LaTex format: \boxed{Your answer}
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