
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 are 5 balls in a bag, numbered from 1 to 5, all of the same size. Balls numbered 1 to 3 are red, and balls numbered 4 and 5 are white. Now, 2 balls are randomly drawn from the bag.  
(1) Calculate the probability that the two drawn balls are of the same color;  
(2) Calculate the probability that the two drawn balls are of different colors, and at least one of the balls has an odd number.

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