
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
Roll a die twice in succession, observing the number of points facing up each time, and calculate:  
(1) The probability that the sum of the two numbers is 5;  
(2) The probability that at least one of the two numbers is odd;  
(3) The probability that the point (x, y), with x being the number of points facing up on the first roll and y being the number on the second roll, lies inside the circle $x^2+y^2=15$.

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