
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
In the 2011 chess competition, winning a game scores 2 points, losing scores 0 points, and drawing scores 1 point. In each game between player A and player B, the probabilities of A winning, losing, and drawing are 0.5, 0.3, and 0.2, respectively. Now, these two players play two games, and the scores are cumulative.
(I) Calculate the probability of player A scoring 2 points;
(II) Calculate the probability of player B scoring at least 2 points.

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