
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 domino game with 45 tiles, we draw 3 tiles one after the other. What is the probability that the second tile can be placed next to the first tile, and the third tile can be connected to either of the first two tiles? How many attempts do we need to make at least for the probability of this event to be at least 0.9?

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