
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
An urn contains 15 red, 9 white, and 4 green balls. If 3 balls are drawn one after another without replacement, what is the probability that:

a) The first ball is red, the second ball is white, and the third ball is green?

b) The 3 drawn balls are red, white, and green, regardless of the order?

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