MathDB

At Rachelle's school an A counts 4 points, a B 3 points, a C 2 points, and a D 1 point. Her GPA on the four classes she is taking is computed as the total sum of points divided by

4

. She is certain that she will get As in both Mathematics and Science, and at least a C in each of English and History. She think she has a

\frac{1}{6}

chance of getting an A in English, and a

\frac{1}{4}

chance of getting a B. In History, she has a

\frac{1}{4}

chance of getting an A, and a

\frac{1}{3}

chance of getting a B, independently of what she gets in English. What is the probability that Rachelle will get a GPA of at least 3.5?

<span class='latex-bold'>(A) </span>\frac{11}{72}\qquad<span class='latex-bold'>(B) </span>\frac{1}{6}\qquad<span class='latex-bold'>(C) </span>\frac{3}{16}\qquad<span class='latex-bold'>(D) </span>\frac{11}{24}\qquad<span class='latex-bold'>(E) </span>\frac{1}{2}

Problem Statement