
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]


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To prepare for the sports art festival competition, a basketball player is practicing free throws at fixed points. The table below shows part of the training records:

| Number of Free Throws | 20 | 40 | 60 | 80 | 100 | 120 |
|-----------------------|----|----|----|----|-----|-----|
| Number of Hits        | 15 | 32 | 48 | 65 | 80  | 96  |
| Hit Frequency         | 0.75 | 0.8 | 0.8 | 0.81 | 0.8 | 0.8 |

(1) According to the table: Estimate the probability of the player hitting a free throw is \_\_\_\_.

(2) Based on the table analysis, if the player gets a total of 10 free throw opportunities in a game (2 attempts per free throw, 1 point for each hit), estimate how many points he can score. Please explain the reasoning.

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