
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
To study a new type of tomato variety, scientists have conducted a statistical analysis of the color of a large number of fruits of this variety. They found that tomatoes with yellow skin account for approximately $\frac{3}{8}$. Among the tomatoes with yellow skin, those with red flesh account for approximately $\frac{8}{15}$; among the tomatoes with flesh that is not red, those with yellow skin account for approximately $\frac{7}{30}$. Based on the above data, estimate the probability that the flesh of this new type of tomato is red.

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