
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
Two basketball teams, A and B, compete in a match. It is known that the probability of team A winning each game is 0.6, while the probability for team B is 0.4. Each game must produce a winner, and the competition follows a best-of-three format, meaning the first team to secure two wins is the victor.
(Ⅰ) Find the probability of team A winning by a score of 2 to 1.
(Ⅱ) Find the probability of team B winning.

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