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
To find the probability of being a junior and a Business and Management major, we need to multiply the individual probabilities.
Given:
Probability of majoring in Business and Management = 82%
Probability of being a junior = 25% (since students have equal probabilities of being freshmen, sophomores, juniors, or seniors)
Therefore, the probability of being a junior and a Business and Management major is 0.25 * 0.82 = 0.205, which is approximately 0.21.
So, the answer is option B) 0.21.
To find the probability of the intersection of being a junior and a Business and Management major, we need to find the joint probability.
The probability of being a junior is 1/4 since students have equal probabilities of being freshmen, sophomores, juniors, or seniors.
The probability of majoring in Business and Management is 82%.
To find the intersection of these two events, we multiply their probabilities: 1/4 * 0.82 = 0.205.
Therefore, the probability of the intersection of being a junior and a Business and Management major is approximately 0.205.
The closest answer option is B) 0.21.