
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 lake there are several sorts of fish, in the following distribution:  $ 18\%$  catfish,  $ 2\%$  sturgeon and  $ 80\%$  other. Of a catch of ten fishes, let  $ x$  denote the number of the catfish and  $ y$  that of the sturgeons. Find the expectation of  $ \frac {x}{y \plus{} 1}$ 

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