
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
The probability that a student passes a test is 0.8. If the test is passed, the student is allowed to take an exam, the probability of passing which is 0.9. Find the probability that the student will pass both the test and the exam.

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