Question

A university class has 27 students: 13 are history majors, 5 are business majors, and 9 are psychology 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 history majors will be selected? Do not round your intermediate computations. Round your final answer to three decimal places.

Answer 1

0.222

Explanation:

So, there is a 13/27 chance the first person to get picked will be a history major. Then there will be 12/26 chance for the second person to be a history major as one student has already been picked. Next, we have to multiply these fractions. 13/27 *12/26=2/9 which in decimal form amounts to 0.222. Was this helpful?:)

Answer 2

0.222

Explanation:

Since 13/27 students are history majors, the probability of selecting one history major would be 13/27. If we happen to select one and then proceed to pick another without replacement, then the probability of two history majors being selected would be (13/27)(12/26) = 2/9 = 0.222