
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 certain supermarket randomly selected 100 customers aged between 20 and 70 to investigate the relationship between the amount spent per shopping trip and age. The survey results are shown in the table below:

| Age Group | $[20,30)$ | $[30,40)$ | $[40,50)$ | $[50,60)$ | $[60,70]$ |
|-----------|-----------|-----------|-----------|-----------|----------|
| Amount spent $\geq$ $188$ yuan | 8 | 15 | 23 | 15 | 9 |
| Amount spent < $188$ yuan | 2 | 3 | 5 | 9 | 11 |

$(1)$ To thank customers, the supermarket plans to give each customer who spends at least $188$ yuan on a single shopping trip a reusable shopping bag. If the supermarket expects 5000 people to shop on the day of the event, estimate the number of reusable shopping bags the supermarket should prepare based on frequency estimation of probability.

$(2)$ From the 100 people selected above, two people are randomly selected in succession. Given that the first person selected did not spend at least $188$ yuan on a single shopping trip, find the probability that the second person selected spent at least $188$ yuan on a single shopping trip.

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