
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]


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A certain social institution conducted a survey to investigate the relationship between the interest in running and age. The data obtained from the questionnaire were organized into the following $2\times 2$ contingency table:

|              | 35 years old and below (including 35 years old) | Above 35 years old | Total |
|--------------|-----------------------------------------------|---------------------|-------|
| Very interested | 15 | 20 | 35 |
| Not interested | 10 | 15 | 25 |
| Total | 25 | 35 | 60 |

$(1)$ Based on the contingency table, can we be $90\%$ confident that there is a relationship between the interest in running and age?  
$(2)$ If 5 individuals under 35 years old are sampled using stratified sampling, and 3 individuals are randomly selected from these 5 individuals, what is the probability that exactly 1 of these 3 individuals is not interested in running?  
Reference formula and data: ${K^2}=\frac{{n{{(ad-bc)}^2}}}{{(a+b)(c+d)(a+c)(b+d)}},n=a+b+c+d$.

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