
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
Athletes A and B have probabilities of successfully jumping over a 2-meter high bar of 0.7 and 0.6, respectively. The outcomes of their jumps are independent of each other. Find:

(Ⅰ) The probability that A succeeds on the third attempt.

(Ⅱ) The probability that at least one of A or B succeeds on the first attempt.

(Ⅲ) The probability that A succeeds exactly one more time than B in two attempts for each.

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