
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
From a group of 10 students (including 6 females and 4 males), 3 students are randomly selected to take a test. The probability of each female student passing the test is $\frac{4}{5}$, and the probability of each male student passing the test is $\frac{3}{5}$. Find:  
(I) The probability that among the 3 selected students, there is at least one male student;  
(II) The probability that a specific female student, let's call her A, and a specific male student, let's call him B, are both selected and pass the test.

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