
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
Two out of every seven people in a city suffer from allergies. In a random sample of 350 people from this city:
a. How many would you expect to suffer from allergies?
b. Suppose that three out of every ten people in the same sample are left-handed. How many people would you expect to be both left-handed and suffer from allergies, assuming that being left-handed and suffering from allergies are independent?

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