
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
A has two cards of the same size, labeled with the numbers $(2)$ and $(3)$; B has four cards of the same size, labeled with $(1)$, $(2)$, $(3)$, and $(4)$.
(1) Find the probability that the sum of the numbers on two cards randomly drawn by B is odd.
(2) A and B each draw a card and compare the numbers. The one with the larger number wins. Find the probability that B wins.

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