
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
Person A and person B play a game of chess. The probability of person A winning a game is $0.4$, and the probability of person A not losing is $0.9$. <br/>$(1)$ If person A and person B play one game, find the probability of the game ending in a draw; <br/>$(2)$ If person A and person B play two consecutive games, assuming the outcomes of the two games are independent, find the probability of person A winning at least one game.

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