
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
A bomb is dropped on each of three adjacent ammunition depots. The probability of hitting the first ammunition depot is 0.025, and the probability of hitting the other two depots is 0.1 each. As long as one depot is hit, the other two will also explode. The probability of the ammunition depots exploding is ____.

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