
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
Cultivate two types of fruit trees, A and B, first by growing seedlings, then by transplanting them. It is known that the probabilities of A and B becoming seedlings are 0.6 and 0.5, respectively, and the probabilities of survival after transplantation are 0.7 and 0.9, respectively.
(1) Find the probability that at least one type of fruit tree becomes a seedling.
(2) Find the probability that exactly one type of fruit tree is successfully cultivated as a seedling and survives transplantation.

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