
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 one red ball and one yellow ball of the same size in a bag. Draw a ball three times with replacement. Calculate: 
(1) The probability of getting three red balls; 
(2) The probability of getting three balls of the same color; 
(3) The probability of getting three balls not all of the same color.

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