
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]


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Suppose the probability of each customer entering a certain mall buying product A is 0.5, and the probability of buying product B is 0.6. Moreover, the purchase of product A and the purchase of product B are independent of each other. The probability of a customer entering the mall and buying both product A and product B is ______. (Express the result as a decimal).

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