
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 game consists of two spinning wheels. Each wheel can land on a number from 1 to 6, but Wheel B is biased: it lands on an even number with a probability of $\frac{2}{3}$, whereas Wheel A is fair. What is the probability that the sum of the numbers selected from Wheel A and Wheel B is even?
A) $\frac{1}{3}$
B) $\frac{1}{2}$
C) $\frac{5}{6}$
D) $\frac{2}{3}$

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