
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
Susan wants to buy a new type of lemonade from her local store, which stocks this new product on a random basis. Each day, there's a 1/2 chance they will have this lemonade in stock. Susan plans to visit the store every day for a week (7 days). What is the probability that the store stocks the lemonade exactly 3 of those 7 days, provided that if they stock it on Monday, they will also stock it on Tuesday?

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