
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 probability that the Chinese women's volleyball team defeats the Japanese team is $\frac{2}{3}$, and the probability that they defeat the American team is $\frac{2}{5}$. The results of the two matches are independent of each other. Calculate the probability that the Chinese team wins exactly one match against both the Japanese and American teams.

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