
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
At Patricia's school, an A counts for 4 points, a B for 3 points, a C for 2 points, and a D for 1 point. Her GPA in the five classes she is taking is computed as the total sum of points divided by 5. Patricia is certain she will get A's in Mathematics, Science, and Art. She is reasonably sure she will get at least a B in English and History. In English, she thinks she has a 25% chance of getting an A, and a 50% chance of getting a B. In History, she evaluates her chances as 40% for getting an A, and 50% for getting a B, independently of her English grade. What is the probability that Patricia will get a GPA of at least 3.6?
A) 0.325
B) 0.375
C) 0.425
D) 0.475

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