
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
There is a machine with 10 toys in it, increasing in price by 25 cents with each, starting from 10 cents. Each time Bob presses the big red button on the machine, a toy is randomly selected and Bob can buy it if he has enough currency. The machine only accepts dimes. Bob begins with 10 dimes and a single five-dollar bill. What is the probability that Bob has to get change for the five-dollar bill before he can buy his favorite toy, the one that costs $2.35$? Express your answer as a common fraction.

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