STAT QUESTION

Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at random for a special assignment. Find the probability that exactly 3 boys will be selected. 

Instructions:

minimum of 300 words NO PLAGIARISM and your solution must reflect your understanding of the question posed.  In addition to the computations you employed to arrive at your response, your answer must contain comments regarding the rationale for the approach you utilized.  Simply listing an answer is of no real value in promoting a discussion.