Question

The high school students who attend Washington Preparatory Academy choose their elective classes according to their majors. Students are 37% likely to major in Performing Arts; 43% likely to choose Science and Technology; 82% likely to major in Business and Management; and 63% likely to select Humanities. Many students choose multiple majors. For example, some Science and Technology students also major in Business and Management because they want to be managers in technical companies. Students have equal probabilities of being freshmen, sophomores, juniors, or seniors.

What is the probability of the intersection of being a junior and a Business and Management major?

A) 0.25

B) 0.21

C) 0.87

D) 0.82

Is the answer option A option B option C or option D

Answer 1

The answer is option A. The probability of being a junior is 0.25 (since students have equal probabilities of being in any grade) and the probability of majoring in Business and Management is 0.82. To find the intersection, you multiply the two probabilities together: 0.25 * 0.82 = 0.205, which is closest to option A (0.25).