
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 shopping mall's promotional event, for every 100 yuan spent, a customer receives one lottery ticket, with more purchases yielding more tickets. A drawing unit consists of 1000 lottery tickets, with 1 grand prize, 10 first prizes, and 50 second prizes available. Let the events of winning the grand prize, first prize, and second prize with one lottery ticket be A, B, and C, respectively. Calculate the individual probabilities of event A, event B, and event C.

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