
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
A car auction was held in a certain place, with 4 sedans sold at prices of 5 yuan, x tens of thousands of yuan, 7 tens of thousands of yuan, and 9 tens of thousands of yuan, respectively. Additionally, 2 trucks were sold at prices of 7 tens of thousands of yuan and 8 tens of thousands of yuan, respectively. The average transaction price was 7 tens of thousands of yuan.

1. Find the median of the transaction prices at this auction.
2. If a person bought two cars, find the probability that they bought one sedan and one truck each, with a total transaction price not exceeding 14 tens of thousands of yuan.

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