
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
There are the following statements:

1. If we calculate a year as 365 days, the probability that two students have the same birthday is $\dfrac{1}{365}$;

2. If the probability of winning a lottery is $0.001$, then buying 1000 lottery tickets will guarantee a win;

3. Before a table tennis match, to decide who serves first, a drawing method is used where each participant draws one number from 1 to 10. Comparing the numbers to decide is a fair method;

4. If it did not rain yesterday, then it means "The weather forecast from the meteorological station predicting a 9% chance of rain was wrong."

Based on our knowledge of probability, the correct statement(s) is/are __________.

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