
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
Assume that Olga Pavlovna has \( x \) liters and Maria Petrovna has \( y \) liters of jam left. The numbers \( x \) and \( y \) are randomly and independently chosen from the interval from 0 to 1. A random point with coordinates \((x, y)\) is selected from the unit square \( F \). The event \( A \) "in total, Olga Pavlovna and Maria Petrovna have at least 1 liter but less than 1.5 liters of jam remaining" is recorded as the inequality \( 1 \leq x + y < 1.5 \) and is represented by the trapezoid bounded between the lines \( x + y = 1 \) and \( x + y = 1.5 \). Then

\[ 
\mathrm{P}(A) = \frac{S_A}{S_F} = \frac{3}{8} = 0.375 
\]

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