
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 Pascal's Triangle, every number is calculated as the sum of the one above it to the left and the one above it to the right. Calculate the sum of all numbers in Row 10 of Pascal's Triangle and then find the probability of getting exactly 5 heads in 10 tosses of a fair coin.

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