
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
Frank has an unfair eight-sided die. The probabilities are such that rolling an 8 has a probability of $\frac{3}{8}$, and each of the numbers from 1 to 7 has the same probability of rolling. What is the expected value of the number shown when this die is rolled?

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