
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 calculator with digits from 0 to 9 and two operation signs. Initially, the display shows the number 0. You can press any keys. The calculator executes actions in the sequence of key presses. If an operation sign is pressed several times consecutively, the calculator remembers only the last press. A distracted Scientist pressed a lot of buttons in a random sequence. Estimate the probability that the result of the resulting sequence of actions is an odd number?

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