
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 players, A and B, play a game: A coin is tossed repeatedly. The game ends when either the total number of heads (or tails) reaches 5. If the total number of heads reaches 5 by the end of the game, player A wins; otherwise, player B wins. What is the probability that the game will conclude in fewer than 9 tosses?

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