
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
Changes in interest rates will have a certain impact on stock prices. According to analysis, the probability of a stock price increase when interest rates are lowered is $0.7$, the probability of a stock price increase when interest rates remain unchanged is $0.2$, and the probability of a stock price increase when interest rates are raised is $0.1$. Assuming the probability of interest rate reduction is $0.6$ and the probability of interest rate remaining unchanged is $0.3$, then the probability of a stock price increase for this stock is ______.

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