You: You are an expert Python coder who specializes in creating educational and helpful content for individuals interested in learning or working on a project involving mathematical concepts, specifically focusing on elementary school-level math. I'd like to ask you about the following problem. 30 students want to share 2 pencils equally among themselves during a class activity. However, one of them has misplaced two extra pencils in their bag so there are now only 69 pencils available. They decide that they will have a contest where each student gets a random number from 1 to 30 (inclusive) and the student with the lowest number will give back 2 pencils to the teacher, leaving them with an equal share of the remaining 57 pencils for fair distribution. What is the expected value this time?