
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
In an opaque bag, there are $10$ balls with the same shape and size but different colors. There are $4$ red balls and $6$ yellow balls.<br/>$(1)$ If a ball is randomly drawn from the bag, the probability of drawing a yellow ball is ______;<br/>$(2)$ If the probability of drawing a red ball from the bag is $\frac{2}{3}$, how many more red balls need to be added to the bag?

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