
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
In a shooting competition, each person shoots twice. It is agreed that missing both shots scores 0 points, hitting one shot scores 10 points, and hitting both shots scores 15 points. If a person's hit rate for each shot is $\frac{4}{5}$, then the expected score (mathematical expectation) for this person is ______ points.

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