
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 a toy inside announced a new collection featuring ten different crocodiles. The crocodiles are uniformly and randomly distributed within the chocolate eggs, so each crocodile has an equal probability of 0.1 to appear in a randomly chosen egg. Lesha wants to collect the complete set. Each day, his mom buys him one chocolate egg with a crocodile inside.

First, Lesha obtained a crocodile with glasses, then a crocodile with a newspaper. The third unique crocodile he got was a crocodile with a cane. Find the expectation (mathematical expectation) of the random variable "the number of crocodiles with a cane that Lesha has by the time he completes the full collection."

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