
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 Anchuria, there are $K$ laws and $N$ ministers. The probability that a randomly selected minister knows a randomly chosen law is $p$. Ministers gathered to draft a Concept. If at least one minister knows a law, the law will be included in the Concept; otherwise, it won't be. Find:

a) The probability that exactly $M$ laws will be included in the Concept.

b) The expected number of laws included in the Concept.

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