
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
Two spinners are spun once and each lands on one of the numbered sectors. What is the probability that the sum of the numbers in the two sectors is odd and that the product of the numbers is even?
A) $\frac{1}{3}$
B) $\frac{1}{2}$
C) $\frac{4}{9}$
D) $\frac{5}{9}$
E) $\frac{2}{3}$

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