At a school, an A counts 4 points, a B 3 points, a C 2 points, and a D 1 point. A student's GPA on the four classes they are taking is computed as the total sum of points divided by 4. They are certain to get an A in Mathematics and a B in Science. They are certain to get at least a C in both English and History. In English, they have a $\frac{1}{3}$ chance of getting an A, and a $\frac{1}{2}$ chance of getting a B. In History, they have a $\frac{1}{2}$ chance of getting an A, and a $\frac{1}{4}$ chance of getting a B, independently of what they get in English. What is the probability that the student will get a GPA of at least 3.25?