
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
In digital communication, signals are composed of the digits $0$ and $1$. Due to random interference, the signal $0$ or $1$ sent may be incorrectly received as $1$ or $0$. It is known that when the signal sent is $0$, the probability of it being received as $1$ is $0.1$; when the signal sent is $1$, the probability of it being received as $1$ is $0.95$. If the signals $0$ and $1$ are equally likely to be sent, then the probability of the received signal being $0$ is ______.

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