
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
There are a theory part and an experimental part in the assessment of a certain course. Each part of the assessment is graded only as "pass" or "fail", and the whole course assessment is considered "pass" if both parts are passed. The probabilities of passing the theory assessment for A, B, and C are 0.9, 0.8, and 0.7 respectively; while the probabilities of passing the experimental assessment are 0.8, 0.7, and 0.9 respectively. The outcomes of all the assessments are independent.  
(Ⅰ) Find the probability that at least two among A, B, and C pass the theory assessment.  
(Ⅱ) Calculate the probability that all three of them pass the entire course assessment (round the result to three decimal places).

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