
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 manufacturer of chocolate eggs with toys inside announced the release of a new collection featuring ten different crocodiles. The crocodiles are uniformly and randomly distributed in the chocolate eggs, meaning that each crocodile can be found in a randomly chosen egg with a probability of 0.1. Lesha wants to collect the complete collection. Each day, his mother buys him one chocolate egg with a crocodile.

First, Lesha got a crocodile with glasses in his collection, then a crocodile with a newspaper. The third unique crocodile in his collection is a crocodile with a cane. Find the expected value of the random variable "the number of crocodiles with canes that Lesha will have by the time he completes his collection".

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