Of the 54 students in a class 29 are taking the class becaus

Of the 54 students in a class, 29 are taking the class because it is a major requirement, and the other25 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 the second is taking it because it is a major requirement? What is the probability that the first student is taking the class because it is a major requirement and the second student is taking the class as an elective? Round your answers to four decimal places. Upper P left-parenthesisthe first student is taking the class as an elective and the second is taking it because it is a major requirementright-parenthesis equals Upper P left-parenthesisfirst student is taking the class because it is a major requirement and the second student is taking the class as an electiveright-parenthesis equals How do the two probabilities compare?

Solution

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 the second is taking it because it is a major requirement?

p= 29 / 54 = 0.537

p = 25 / 54 = 0.4629

P(x=1) = 2C1 * 0.537^1 * 0.4629^2- 1   = 0.4971