
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
A batch of products from a company is mixed with first-grade components and second-grade components. Each package contains 10 components. Xiao Zhang went to the company to purchase and used the following method for sampling: randomly select 1 package of products from the company's products, then randomly select 4 components from that package. If the components selected are all first-grade, then he decides to purchase the company's products; otherwise, he rejects the purchase. Assuming that in this batch of products from the company, each package contains 1 or 2 second-grade components, with the number of packages containing 2 second-grade components accounting for 10%, then the probability that Xiao Zhang decides to purchase the company's products is ____.

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