Question

URGENT WILL MARK BRAINLIEST KIND OF HARD 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 union of majoring in either Performing Arts or the Humanities?

1.00
0.26
0.77
0.23

Answer 1

Answer:

1.00 good luck!!!!! btw I hope u were talking about GPA because if so thats ur answer

Answer 2

Probability helps us to know the chances of an event occurring. The correct option is C.

What is Probability?

Probability helps us to know the chances of an event occurring.

$\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

Given that 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. Therefore,  the probability of the union of majoring in either Performing Arts or the Humanities is,

P(Humanities ∪ Arts) = P(Humanities) + P(Arts) - P(Humanities)(Arts)

                                  = 0.63 + 0.37 - (0.63 x 0.37)

                                  = 1 - 0.2331

                                  = 0.7669 ≈ 0.77

Hence, the correct option is C.

Learn more about Probability:

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