
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 chocolate egg manufacturer announced a new collection that includes ten different crocodile figurines. The crocodiles are evenly and randomly distributed in the chocolate eggs, meaning any given crocodile can appear in a randomly chosen egg with a probability of 0.1. Alex wants to collect the full set. His mother buys him one chocolate egg with a crocodile inside each day.

First, Alex's collection included a crocodile with glasses, then a crocodile with a newspaper. The third unique crocodile he got was a crocodile with a cane. Find the expected value of the random variable "the number of crocodiles with a cane Alex has collected by the time he completes the full collection."

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