
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 a college, an A counts 4 points, a B 3 points, a C 2 points, and a D 1 point. Morgan's GPA in the five classes she is taking is computed as the total sum of points divided by 5. Morgan is sure she will get A's in both Chemistry and Physics, and at least a B in each of English, Computer Science, and Geology. She believes she has a $\frac{1}{3}$ chance of getting an A in English, and a $\tfrac{1}{5}$ chance of getting a B. In Geology, she has a $\frac{1}{5}$ chance of getting an A, and a $\frac{1}{2}$ chance of getting a B, independently of her grades in other courses. What is the probability that Morgan will attain a GPA of at least $3.6$?
A) $\frac{1}{5}$  
B) $\frac{2}{7}$  
C) $\frac{11}{30}$  
D) $\frac{4}{10}$  
E) $\frac{1}{2}$

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