
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 Chinese table tennis team has two players, A and B, participating in the Women's Singles Table Tennis event at the Olympics. The probability of player A winning the gold medal is $$\frac{3}{7}$$, and the probability of player B winning the gold medal is $$\frac{1}{4}$$. What is the probability of the Chinese team winning the gold medal in the Women's Singles Table Tennis event?

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