
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 summer water obstacle course TV show, the pass rates for the first three levels are 0.8, 0.7, and 0.6, respectively. A contestant can only advance to the next level after passing the previous one, and passing rates for each level are independent of one another. Calculate the probability that a contestant only passes the first two levels but not the third.

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