
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
Leah has a coin that lands heads with probability $\frac{1}{4}$, and Ben has a coin that lands heads with probability $\frac{1}{3}$. Leah and Ben alternately toss their coins starting with Leah. They continue until one of them gets a result different from the previous player's result. Find the probability that Leah's result is different first.
**A)** $\frac{3}{8}$ **B)** $\frac{4}{7}$ **C)** $\frac{3}{5}$ **D)** $\frac{2}{5}$ **E)** $\frac{1}{3}$

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