The size of the human haploid genome is about 3.2 × 106 kb. Using human sperm DNA and bacteriophage λ as a cloning vector, you have made a human genome library containing 105 clones. Each clone has a 10-kb insert on average. What is the probability that a particular 10-kb single-copy gene is present in your library? Are you confident that you can find your gene with this library? Does a library with 10 times more clones significantly improve your chances? If not, why not?