ulapter U4, Section 4.4, Problem 058 of the 54 students in a class, 39 are takin
ID: 3366325 • Letter: U
Question
ulapter U4, Section 4.4, Problem 058 of the 54 students in a class, 39 are taking the class because it is a major requirement, and the other 15 are taking it as an elective. If two students are selected at random from this class, what is the probability that the first student is taking the class as an elective and major requirement and the second student is taking the class as an elective? Round your answers to four decimal places. P(the first student is taking the class as an elective and the second is taking it because it is a major requirement)- P(first student is taking the class because it is a major requirement and the second student is taking the class as an elective)- How do the two probabilities compare? Open Show Work Click if you would like to Show Work for this question: Question Attempts: 0 of 10 used SAVE FOR LATER SUBMET ANSWIER /12/208Explanation / Answer
This problem is to be solved using the combinatorics formulas.
Total there are 54 students, out of which 39 are taking the class compulsorily and 15 are taking as an elective.
P(first student takes as an elective and second student takes as a major) = (15C1*39C1)/(54*53) = 0.204
P(first student takes as a major and second student takes as an elective) = (39C1*15C1)/(54C2) = 0.204
Both the probabilities are equal.
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