
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 and B participate in an intelligence competition. In the same round of the competition, both are tested with the same set of papers, and the scores are graded from low to high as "Qualified", "Good", and "Excellent". According to past results, the probabilities of A achieving "Qualified", "Good", and "Excellent" are 0.6, 0.3, and 0.1, respectively; the probabilities of B achieving "Qualified", "Good", and "Excellent" are 0.4, 0.4, and 0.2, respectively. Assume that the competition process of A and B is independent, and the results of each round do not affect each other.  
(Ⅰ) Calculate the probability that A's grade is higher than B's in one round of the competition;  
(Ⅱ) Calculate the probability that in three independent rounds of competition, A's grade is higher than B's in at least two rounds.

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