Question

A university class has 29 students: 11 are nursing majors, 9 are accounting majors, and 9 are business majors. (Each student has only one of these majors.) The professor is planning to select two of the students for a demonstration. The first student will be selected at random, and then the second student will be selected at random from the remaining students. What is the probability that two accounting majors will be selected? Do not round the intermediate computations. Round the final answer to three decimal places.

Answer 1

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There are a total of 29 students in the class.

The probability of selecting an accounting major on the first pick is 9/29.

After the first pick, there are 28 students remaining, 8 of whom are accounting majors.

The probability of selecting another accounting major on the second pick is 8/28.

Using the multiplication rule, the probability of selecting two accounting majors is:

(9/29) * (8/28) = 0.079

Rounded to three decimal places, the probability is 0.079.