
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
The variance of the score $X$ for one free throw is given that the basketball player has a free throw success rate of 0.8, scoring 1 point for a hit and 0 points for a miss.

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