
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
Rachelle is certain she will get B's in both Mathematics and Science at her school, where an A counts as 4 points, a B as 3 points, a C as 2 points, and a D as 1 point. Her GPA is calculated as the total sum of points divided by 4. For English, she thinks she has a $\frac{1}{3}$ chance of getting an A, and a $\frac{1}{2}$ chance of getting a B. In History, 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 English. What is the probability that Rachelle will achieve a GPA of at least 3.75?
A) $\frac{1}{15}$
B) $\frac{1}{10}$
C) $\frac{1}{5}$
D) $\frac{1}{4}$
E) $\frac{1}{3}$

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