
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 producer of chocolate eggs with a toy inside announced a new collection consisting of ten different crocodiles. The crocodiles are uniformly and randomly distributed in the chocolate eggs, meaning that each crocodile has a probability of 0.1 of being in any randomly chosen egg. Lesha wants to collect the entire collection. Every day, his mother buys him one chocolate egg with a crocodile.

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

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