
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
If the probability of the young soccer enthusiast passing each assistant coach's interview is 0.5, and the probability of passing the head coach's final review is 0.3, determine the probability of this young soccer enthusiast being admitted to the well-known soccer school.

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