
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
Select 3 members from 6 student council leaders (including 4 males and 2 females) to participate in the city's youth federation volunteer program.
(Ⅰ) Let ξ represent the number of females selected among the 3 persons. Determine the distribution of ξ and its mathematical expectation.
(Ⅱ) Given that a male student A is selected, find the probability that a female student B is also selected.

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