
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
Thirty tiles are numbered 1 through 30 and are placed into box $A$. Forty other tiles numbered 10 through 49 are placed into box $B$. One tile is randomly drawn from each box. What is the probability that the tile from box $A$ is a prime number and the tile from box $B$ is either odd or greater than 40? Express your answer as a common fraction.

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