Chapter 04, Section 4.4, Problem 058 of the 47 students in a dlass, 32 are takin

Question

Chapter 04, Section 4.4, Problem 058 of the 47 students in a dlass, 32 are taking the class because it is a major requirement, and the other1 5 are taking it as an elective. If two students are selected at random from this class, what is the probability taking it because it is a major requirement? What is the probablity that the first student is taking the class because it is a major the second student is taking the class as an elective? that the first student is taking the class as an elective and the second is requirement and 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 rfirst student is taking the dass because it is a major requrement and the second student is taking the class as an elective)= How do the two probabilities compare? Question Attempts: 0 of 3 used SAVE FOR LAESURHET A

Explanation / Answer

This issue is to be comprehended utilizing the combinatorics equations.

Add up to there are 47 understudies, out of which 32 are taking the class necessarily and 15 are taking as an elective.

P(first student takes as an elective and second student takes as a noteworthy) = (15C1*32C1)/(47*46) = 0.2220

P(first student takes as a noteworthy and second student takes as an elective) = (32C1*15C1)/(47*46) = 0.2220

Both the probabilities are equivalent.

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