
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
On the table, there are two stacks of notebooks. The first stack contains 5 notebooks with blue covers, and the second stack contains 5 notebooks with red covers. The notebooks in each stack are numbered 1, 2, 3, 4, 5 and are arranged in a random order. A student takes one notebook from each stack. Find the probability that the student will draw notebook number 5 from both stacks under the following conditions:

a) Notebook number 5 with a blue cover will be drawn;

b) At least one notebook number 5 will be drawn;

c) Two notebooks with the same numbers will be drawn.

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