
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
Modify the original problem by increasing the number of coins Keiko tosses to two and Ephraim tosses to three. What is the probability that Ephraim gets the same number of heads that Keiko gets? Express your answer as a common fraction.

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