
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
The weather report states that there is a $30\%$ probability of rain on Saturday and a $60\%$ probability on Sunday. However, if it rains on Saturday, the probability of rain on Sunday decreases to $40\%$. Assuming the probabilities are independent unless it rains on Saturday, what is the probability it rains over the weekend?

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